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Finding the Fourth Proportional to 148.32, 204.72 and 93.12

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Solution

The fourth proportional to 148.32, 204.72 and 93.12 is: 128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.32 : 204.72 = 93.12 : x
  2. Step 2: Convert to fraction form
    148.32/204.72 = 93.12/x
  3. Step 3: Cross multiply
    148.32x = 204.72 × 93.12
  4. Step 4: Simplify right side
    148.32x = 19,063.53
  5. Step 5: Solve for x
    x = 19,063.53/148.32
  6. Step 6: Final answer
    x = 128.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.