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Finding the Fourth Proportional to 160.29, 239.31 and 142.11

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Solution

The fourth proportional to 160.29, 239.31 and 142.11 is: 212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.29 : 239.31 = 142.11 : x
  2. Step 2: Convert to fraction form
    160.29/239.31 = 142.11/x
  3. Step 3: Cross multiply
    160.29x = 239.31 × 142.11
  4. Step 4: Simplify right side
    160.29x = 34,008.34
  5. Step 5: Solve for x
    x = 34,008.34/160.29
  6. Step 6: Final answer
    x = 212.17

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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.