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Finding the Fourth Proportional to 148.70, 205.07 and 93.42

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Solution

The fourth proportional to 148.70, 205.07 and 93.42 is: 128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.70 : 205.07 = 93.42 : x
  2. Step 2: Convert to fraction form
    148.70/205.07 = 93.42/x
  3. Step 3: Cross multiply
    148.70x = 205.07 × 93.42
  4. Step 4: Simplify right side
    148.70x = 19,157.64
  5. Step 5: Solve for x
    x = 19,157.64/148.70
  6. Step 6: Final answer
    x = 128.83

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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.