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Finding the Fourth Proportional to 154.80, 230.76 and 147.96

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Solution

The fourth proportional to 154.80, 230.76 and 147.96 is: 220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.80 : 230.76 = 147.96 : x
  2. Step 2: Convert to fraction form
    154.80/230.76 = 147.96/x
  3. Step 3: Cross multiply
    154.80x = 230.76 × 147.96
  4. Step 4: Simplify right side
    154.80x = 34,143.25
  5. Step 5: Solve for x
    x = 34,143.25/154.80
  6. Step 6: Final answer
    x = 220.56

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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.