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Finding the Fourth Proportional to 531.09, 732.94 and 321.27

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Solution

The fourth proportional to 531.09, 732.94 and 321.27 is: 443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.09 : 732.94 = 321.27 : x
  2. Step 2: Convert to fraction form
    531.09/732.94 = 321.27/x
  3. Step 3: Cross multiply
    531.09x = 732.94 × 321.27
  4. Step 4: Simplify right side
    531.09x = 235,474.01
  5. Step 5: Solve for x
    x = 235,474.01/531.09
  6. Step 6: Final answer
    x = 443.38

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1.5x scale

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.