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Finding the Fourth Proportional to 267.48, 369.32 and 209.16

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Solution

The fourth proportional to 267.48, 369.32 and 209.16 is: 288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.48 : 369.32 = 209.16 : x
  2. Step 2: Convert to fraction form
    267.48/369.32 = 209.16/x
  3. Step 3: Cross multiply
    267.48x = 369.32 × 209.16
  4. Step 4: Simplify right side
    267.48x = 77,246.97
  5. Step 5: Solve for x
    x = 77,246.97/267.48
  6. Step 6: Final answer
    x = 288.80

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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.