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Finding the Fourth Proportional to 147.42, 219.92 and 142.16

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Solution

The fourth proportional to 147.42, 219.92 and 142.16 is: 212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.42 : 219.92 = 142.16 : x
  2. Step 2: Convert to fraction form
    147.42/219.92 = 142.16/x
  3. Step 3: Cross multiply
    147.42x = 219.92 × 142.16
  4. Step 4: Simplify right side
    147.42x = 31,262.02
  5. Step 5: Solve for x
    x = 31,262.02/147.42
  6. Step 6: Final answer
    x = 212.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.