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Finding the Fourth Proportional to 159.13, 237.56 and 149.95

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Solution

The fourth proportional to 159.13, 237.56 and 149.95 is: 223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.13 : 237.56 = 149.95 : x
  2. Step 2: Convert to fraction form
    159.13/237.56 = 149.95/x
  3. Step 3: Cross multiply
    159.13x = 237.56 × 149.95
  4. Step 4: Simplify right side
    159.13x = 35,622.12
  5. Step 5: Solve for x
    x = 35,622.12/159.13
  6. Step 6: Final answer
    x = 223.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.