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Finding the Fourth Proportional to 148.53, 205.02 and 93.36

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Solution

The fourth proportional to 148.53, 205.02 and 93.36 is: 128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.53 : 205.02 = 93.36 : x
  2. Step 2: Convert to fraction form
    148.53/205.02 = 93.36/x
  3. Step 3: Cross multiply
    148.53x = 205.02 × 93.36
  4. Step 4: Simplify right side
    148.53x = 19,140.67
  5. Step 5: Solve for x
    x = 19,140.67/148.53
  6. Step 6: Final answer
    x = 128.87

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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.