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Finding the Fourth Proportional to 142.32, 213.48 and 46.14

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Solution

The fourth proportional to 142.32, 213.48 and 46.14 is: 69.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.32 : 213.48 = 46.14 : x
  2. Step 2: Convert to fraction form
    142.32/213.48 = 46.14/x
  3. Step 3: Cross multiply
    142.32x = 213.48 × 46.14
  4. Step 4: Simplify right side
    142.32x = 9,849.97
  5. Step 5: Solve for x
    x = 9,849.97/142.32
  6. Step 6: Final answer
    x = 69.21

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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.