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Finding the Fourth Proportional to 152.32, 229.49 and 137.89

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Solution

The fourth proportional to 152.32, 229.49 and 137.89 is: 207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.32 : 229.49 = 137.89 : x
  2. Step 2: Convert to fraction form
    152.32/229.49 = 137.89/x
  3. Step 3: Cross multiply
    152.32x = 229.49 × 137.89
  4. Step 4: Simplify right side
    152.32x = 31,644.38
  5. Step 5: Solve for x
    x = 31,644.38/152.32
  6. Step 6: Final answer
    x = 207.75

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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.