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Finding the Fourth Proportional to 508.17, 762.18 and 142.89

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Solution

The fourth proportional to 508.17, 762.18 and 142.89 is: 214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.17 : 762.18 = 142.89 : x
  2. Step 2: Convert to fraction form
    508.17/762.18 = 142.89/x
  3. Step 3: Cross multiply
    508.17x = 762.18 × 142.89
  4. Step 4: Simplify right side
    508.17x = 108,907.90
  5. Step 5: Solve for x
    x = 108,907.90/508.17
  6. Step 6: Final answer
    x = 214.31

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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.