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Finding the Fourth Proportional to 357.52, 537.04 and 308.80

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Solution

The fourth proportional to 357.52, 537.04 and 308.80 is: 463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.52 : 537.04 = 308.80 : x
  2. Step 2: Convert to fraction form
    357.52/537.04 = 308.80/x
  3. Step 3: Cross multiply
    357.52x = 537.04 × 308.80
  4. Step 4: Simplify right side
    357.52x = 165,837.95
  5. Step 5: Solve for x
    x = 165,837.95/357.52
  6. Step 6: Final answer
    x = 463.86

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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.