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Finding the Fourth Proportional to 531.49, 733.35 and 321.61

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Solution

The fourth proportional to 531.49, 733.35 and 321.61 is: 443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.49 : 733.35 = 321.61 : x
  2. Step 2: Convert to fraction form
    531.49/733.35 = 321.61/x
  3. Step 3: Cross multiply
    531.49x = 733.35 × 321.61
  4. Step 4: Simplify right side
    531.49x = 235,852.69
  5. Step 5: Solve for x
    x = 235,852.69/531.49
  6. Step 6: Final answer
    x = 443.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.