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Finding the Fourth Proportional to 142.31, 213.47 and 39.58

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Solution

The fourth proportional to 142.31, 213.47 and 39.58 is: 59.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.31 : 213.47 = 39.58 : x
  2. Step 2: Convert to fraction form
    142.31/213.47 = 39.58/x
  3. Step 3: Cross multiply
    142.31x = 213.47 × 39.58
  4. Step 4: Simplify right side
    142.31x = 8,449.14
  5. Step 5: Solve for x
    x = 8,449.14/142.31
  6. Step 6: Final answer
    x = 59.37

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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.