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Finding the Fourth Proportional to 512.70, 769.14 and 256.20

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Solution

The fourth proportional to 512.70, 769.14 and 256.20 is: 384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.70 : 769.14 = 256.20 : x
  2. Step 2: Convert to fraction form
    512.70/769.14 = 256.20/x
  3. Step 3: Cross multiply
    512.70x = 769.14 × 256.20
  4. Step 4: Simplify right side
    512.70x = 197,053.67
  5. Step 5: Solve for x
    x = 197,053.67/512.70
  6. Step 6: Final answer
    x = 384.34

Related Problems

Find fourth proportional to 256.35, 384.57 and 128.10
Half scale
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Double scale
Find fourth proportional to 513.70, 770.64 and 257.20
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.