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Finding the Fourth Proportional to 154.14, 230.27 and 123.78

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Solution

The fourth proportional to 154.14, 230.27 and 123.78 is: 184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.14 : 230.27 = 123.78 : x
  2. Step 2: Convert to fraction form
    154.14/230.27 = 123.78/x
  3. Step 3: Cross multiply
    154.14x = 230.27 × 123.78
  4. Step 4: Simplify right side
    154.14x = 28,502.20
  5. Step 5: Solve for x
    x = 28,502.20/154.14
  6. Step 6: Final answer
    x = 184.91

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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.