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Finding the Fourth Proportional to 251.59, 377.01 and 97.33

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Solution

The fourth proportional to 251.59, 377.01 and 97.33 is: 145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.59 : 377.01 = 97.33 : x
  2. Step 2: Convert to fraction form
    251.59/377.01 = 97.33/x
  3. Step 3: Cross multiply
    251.59x = 377.01 × 97.33
  4. Step 4: Simplify right side
    251.59x = 36,694.38
  5. Step 5: Solve for x
    x = 36,694.38/251.59
  6. Step 6: Final answer
    x = 145.85

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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.