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Finding the Fourth Proportional to 153.38, 231.14 and 138.98

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Solution

The fourth proportional to 153.38, 231.14 and 138.98 is: 209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.38 : 231.14 = 138.98 : x
  2. Step 2: Convert to fraction form
    153.38/231.14 = 138.98/x
  3. Step 3: Cross multiply
    153.38x = 231.14 × 138.98
  4. Step 4: Simplify right side
    153.38x = 32,123.84
  5. Step 5: Solve for x
    x = 32,123.84/153.38
  6. Step 6: Final answer
    x = 209.44

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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.