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Finding the Fourth Proportional to 354.42, 531.62 and 110.91

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Solution

The fourth proportional to 354.42, 531.62 and 110.91 is: 166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.42 : 531.62 = 110.91 : x
  2. Step 2: Convert to fraction form
    354.42/531.62 = 110.91/x
  3. Step 3: Cross multiply
    354.42x = 531.62 × 110.91
  4. Step 4: Simplify right side
    354.42x = 58,961.97
  5. Step 5: Solve for x
    x = 58,961.97/354.42
  6. Step 6: Final answer
    x = 166.36

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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.