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Finding the Fourth Proportional to 158.74, 239.49 and 149.02

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Solution

The fourth proportional to 158.74, 239.49 and 149.02 is: 224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.74 : 239.49 = 149.02 : x
  2. Step 2: Convert to fraction form
    158.74/239.49 = 149.02/x
  3. Step 3: Cross multiply
    158.74x = 239.49 × 149.02
  4. Step 4: Simplify right side
    158.74x = 35,688.80
  5. Step 5: Solve for x
    x = 35,688.80/158.74
  6. Step 6: Final answer
    x = 224.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.