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Finding the Fourth Proportional to 213.59, 319.17 and 158.85

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Solution

The fourth proportional to 213.59, 319.17 and 158.85 is: 237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.59 : 319.17 = 158.85 : x
  2. Step 2: Convert to fraction form
    213.59/319.17 = 158.85/x
  3. Step 3: Cross multiply
    213.59x = 319.17 × 158.85
  4. Step 4: Simplify right side
    213.59x = 50,700.15
  5. Step 5: Solve for x
    x = 50,700.15/213.59
  6. Step 6: Final answer
    x = 237.38

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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.