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Finding the Fourth Proportional to 513.50, 770.36 and 166.86

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Solution

The fourth proportional to 513.50, 770.36 and 166.86 is: 250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.50 : 770.36 = 166.86 : x
  2. Step 2: Convert to fraction form
    513.50/770.36 = 166.86/x
  3. Step 3: Cross multiply
    513.50x = 770.36 × 166.86
  4. Step 4: Simplify right side
    513.50x = 128,541.44
  5. Step 5: Solve for x
    x = 128,541.44/513.50
  6. Step 6: Final answer
    x = 250.33

Related Problems

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Double scale
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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.