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Finding the Fourth Proportional to 508.29, 762.35 and 142.99

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Solution

The fourth proportional to 508.29, 762.35 and 142.99 is: 214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.29 : 762.35 = 142.99 : x
  2. Step 2: Convert to fraction form
    508.29/762.35 = 142.99/x
  3. Step 3: Cross multiply
    508.29x = 762.35 × 142.99
  4. Step 4: Simplify right side
    508.29x = 109,010.36
  5. Step 5: Solve for x
    x = 109,010.36/508.29
  6. Step 6: Final answer
    x = 214.46

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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.