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Finding the Fourth Proportional to 167.59, 249.08 and 154.63

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Solution

The fourth proportional to 167.59, 249.08 and 154.63 is: 229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.59 : 249.08 = 154.63 : x
  2. Step 2: Convert to fraction form
    167.59/249.08 = 154.63/x
  3. Step 3: Cross multiply
    167.59x = 249.08 × 154.63
  4. Step 4: Simplify right side
    167.59x = 38,515.24
  5. Step 5: Solve for x
    x = 38,515.24/167.59
  6. Step 6: Final answer
    x = 229.82

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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.