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Finding the Fourth Proportional to 512.68, 768.63 and 256.36

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Solution

The fourth proportional to 512.68, 768.63 and 256.36 is: 384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.68 : 768.63 = 256.36 : x
  2. Step 2: Convert to fraction form
    512.68/768.63 = 256.36/x
  3. Step 3: Cross multiply
    512.68x = 768.63 × 256.36
  4. Step 4: Simplify right side
    512.68x = 197,045.99
  5. Step 5: Solve for x
    x = 197,045.99/512.68
  6. Step 6: Final answer
    x = 384.34

Related Problems

Find fourth proportional to 256.34, 384.32 and 128.18
Half scale
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Double scale
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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.