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Finding the Fourth Proportional to 154.94, 231.37 and 123.66

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Solution

The fourth proportional to 154.94, 231.37 and 123.66 is: 184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.94 : 231.37 = 123.66 : x
  2. Step 2: Convert to fraction form
    154.94/231.37 = 123.66/x
  3. Step 3: Cross multiply
    154.94x = 231.37 × 123.66
  4. Step 4: Simplify right side
    154.94x = 28,610.91
  5. Step 5: Solve for x
    x = 28,610.91/154.94
  6. Step 6: Final answer
    x = 184.65

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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.