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Finding the Fourth Proportional to 353.78, 530.22 and 158.72

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Solution

The fourth proportional to 353.78, 530.22 and 158.72 is: 237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.78 : 530.22 = 158.72 : x
  2. Step 2: Convert to fraction form
    353.78/530.22 = 158.72/x
  3. Step 3: Cross multiply
    353.78x = 530.22 × 158.72
  4. Step 4: Simplify right side
    353.78x = 84,156.52
  5. Step 5: Solve for x
    x = 84,156.52/353.78
  6. Step 6: Final answer
    x = 237.88

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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.