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Finding the Fourth Proportional to 269.68, 403.62 and 237.16

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Solution

The fourth proportional to 269.68, 403.62 and 237.16 is: 354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.68 : 403.62 = 237.16 : x
  2. Step 2: Convert to fraction form
    269.68/403.62 = 237.16/x
  3. Step 3: Cross multiply
    269.68x = 403.62 × 237.16
  4. Step 4: Simplify right side
    269.68x = 95,722.52
  5. Step 5: Solve for x
    x = 95,722.52/269.68
  6. Step 6: Final answer
    x = 354.95

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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.