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Finding the Fourth Proportional to 505.38, 757.82 and 158.66

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Solution

The fourth proportional to 505.38, 757.82 and 158.66 is: 237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.38 : 757.82 = 158.66 : x
  2. Step 2: Convert to fraction form
    505.38/757.82 = 158.66/x
  3. Step 3: Cross multiply
    505.38x = 757.82 × 158.66
  4. Step 4: Simplify right side
    505.38x = 120,235.72
  5. Step 5: Solve for x
    x = 120,235.72/505.38
  6. Step 6: Final answer
    x = 237.91

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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.