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Finding the Fourth Proportional to 154.30, 232.54 and 146.98

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Solution

The fourth proportional to 154.30, 232.54 and 146.98 is: 221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.30 : 232.54 = 146.98 : x
  2. Step 2: Convert to fraction form
    154.30/232.54 = 146.98/x
  3. Step 3: Cross multiply
    154.30x = 232.54 × 146.98
  4. Step 4: Simplify right side
    154.30x = 34,178.73
  5. Step 5: Solve for x
    x = 34,178.73/154.30
  6. Step 6: Final answer
    x = 221.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.