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Finding the Fourth Proportional to 154.73, 230.88 and 136.27

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Solution

The fourth proportional to 154.73, 230.88 and 136.27 is: 203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.73 : 230.88 = 136.27 : x
  2. Step 2: Convert to fraction form
    154.73/230.88 = 136.27/x
  3. Step 3: Cross multiply
    154.73x = 230.88 × 136.27
  4. Step 4: Simplify right side
    154.73x = 31,462.02
  5. Step 5: Solve for x
    x = 31,462.02/154.73
  6. Step 6: Final answer
    x = 203.33

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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.