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Finding the Fourth Proportional to 154.39, 230.28 and 131.30

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Solution

The fourth proportional to 154.39, 230.28 and 131.30 is: 195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.39 : 230.28 = 131.30 : x
  2. Step 2: Convert to fraction form
    154.39/230.28 = 131.30/x
  3. Step 3: Cross multiply
    154.39x = 230.28 × 131.30
  4. Step 4: Simplify right side
    154.39x = 30,235.76
  5. Step 5: Solve for x
    x = 30,235.76/154.39
  6. Step 6: Final answer
    x = 195.85

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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.