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Finding the Fourth Proportional to 153.97, 231.45 and 123.87

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Solution

The fourth proportional to 153.97, 231.45 and 123.87 is: 186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.97 : 231.45 = 123.87 : x
  2. Step 2: Convert to fraction form
    153.97/231.45 = 123.87/x
  3. Step 3: Cross multiply
    153.97x = 231.45 × 123.87
  4. Step 4: Simplify right side
    153.97x = 28,669.71
  5. Step 5: Solve for x
    x = 28,669.71/153.97
  6. Step 6: Final answer
    x = 186.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.