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Finding the Fourth Proportional to 360.40, 537.20 and 321.14

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Solution

The fourth proportional to 360.40, 537.20 and 321.14 is: 478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.40 : 537.20 = 321.14 : x
  2. Step 2: Convert to fraction form
    360.40/537.20 = 321.14/x
  3. Step 3: Cross multiply
    360.40x = 537.20 × 321.14
  4. Step 4: Simplify right side
    360.40x = 172,516.41
  5. Step 5: Solve for x
    x = 172,516.41/360.40
  6. Step 6: Final answer
    x = 478.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.