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Finding the Fourth Proportional to 148.77, 205.15 and 113.79

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Solution

The fourth proportional to 148.77, 205.15 and 113.79 is: 156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.77 : 205.15 = 113.79 : x
  2. Step 2: Convert to fraction form
    148.77/205.15 = 113.79/x
  3. Step 3: Cross multiply
    148.77x = 205.15 × 113.79
  4. Step 4: Simplify right side
    148.77x = 23,344.02
  5. Step 5: Solve for x
    x = 23,344.02/148.77
  6. Step 6: Final answer
    x = 156.91

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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.