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Finding the Fourth Proportional to 167.05, 250.51 and 58.78

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Solution

The fourth proportional to 167.05, 250.51 and 58.78 is: 88.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.05 : 250.51 = 58.78 : x
  2. Step 2: Convert to fraction form
    167.05/250.51 = 58.78/x
  3. Step 3: Cross multiply
    167.05x = 250.51 × 58.78
  4. Step 4: Simplify right side
    167.05x = 14,724.98
  5. Step 5: Solve for x
    x = 14,724.98/167.05
  6. Step 6: Final answer
    x = 88.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.