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Finding the Fourth Proportional to 142.74, 213.96 and 102.15

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Solution

The fourth proportional to 142.74, 213.96 and 102.15 is: 153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.74 : 213.96 = 102.15 : x
  2. Step 2: Convert to fraction form
    142.74/213.96 = 102.15/x
  3. Step 3: Cross multiply
    142.74x = 213.96 × 102.15
  4. Step 4: Simplify right side
    142.74x = 21,856.01
  5. Step 5: Solve for x
    x = 21,856.01/142.74
  6. Step 6: Final answer
    x = 153.12

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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.