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Finding the Fourth Proportional to 508.78, 763.20 and 166.78

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Solution

The fourth proportional to 508.78, 763.20 and 166.78 is: 250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.78 : 763.20 = 166.78 : x
  2. Step 2: Convert to fraction form
    508.78/763.20 = 166.78/x
  3. Step 3: Cross multiply
    508.78x = 763.20 × 166.78
  4. Step 4: Simplify right side
    508.78x = 127,286.50
  5. Step 5: Solve for x
    x = 127,286.50/508.78
  6. Step 6: Final answer
    x = 250.18

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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.