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Finding the Fourth Proportional to 360.68, 537.17 and 338.19

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Solution

The fourth proportional to 360.68, 537.17 and 338.19 is: 503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.68 : 537.17 = 338.19 : x
  2. Step 2: Convert to fraction form
    360.68/537.17 = 338.19/x
  3. Step 3: Cross multiply
    360.68x = 537.17 × 338.19
  4. Step 4: Simplify right side
    360.68x = 181,663.83
  5. Step 5: Solve for x
    x = 181,663.83/360.68
  6. Step 6: Final answer
    x = 503.68

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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.