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Finding the Fourth Proportional to 178.53, 269.18 and 142.89

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Solution

The fourth proportional to 178.53, 269.18 and 142.89 is: 215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.53 : 269.18 = 142.89 : x
  2. Step 2: Convert to fraction form
    178.53/269.18 = 142.89/x
  3. Step 3: Cross multiply
    178.53x = 269.18 × 142.89
  4. Step 4: Simplify right side
    178.53x = 38,462.42
  5. Step 5: Solve for x
    x = 38,462.42/178.53
  6. Step 6: Final answer
    x = 215.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.