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Finding the Fourth Proportional to 353.92, 530.80 and 158.82

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Solution

The fourth proportional to 353.92, 530.80 and 158.82 is: 238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.92 : 530.80 = 158.82 : x
  2. Step 2: Convert to fraction form
    353.92/530.80 = 158.82/x
  3. Step 3: Cross multiply
    353.92x = 530.80 × 158.82
  4. Step 4: Simplify right side
    353.92x = 84,301.66
  5. Step 5: Solve for x
    x = 84,301.66/353.92
  6. Step 6: Final answer
    x = 238.19

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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.