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Finding the Fourth Proportional to 354.08, 531.05 and 119.79

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Solution

The fourth proportional to 354.08, 531.05 and 119.79 is: 179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.08 : 531.05 = 119.79 : x
  2. Step 2: Convert to fraction form
    354.08/531.05 = 119.79/x
  3. Step 3: Cross multiply
    354.08x = 531.05 × 119.79
  4. Step 4: Simplify right side
    354.08x = 63,614.48
  5. Step 5: Solve for x
    x = 63,614.48/354.08
  6. Step 6: Final answer
    x = 179.66

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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.