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Finding the Fourth Proportional to 354.93, 531.86 and 149.39

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Solution

The fourth proportional to 354.93, 531.86 and 149.39 is: 223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.93 : 531.86 = 149.39 : x
  2. Step 2: Convert to fraction form
    354.93/531.86 = 149.39/x
  3. Step 3: Cross multiply
    354.93x = 531.86 × 149.39
  4. Step 4: Simplify right side
    354.93x = 79,451.16
  5. Step 5: Solve for x
    x = 79,451.16/354.93
  6. Step 6: Final answer
    x = 223.85

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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.