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Finding the Fourth Proportional to 332.25, 457.71 and 269.91

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Solution

The fourth proportional to 332.25, 457.71 and 269.91 is: 371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.25 : 457.71 = 269.91 : x
  2. Step 2: Convert to fraction form
    332.25/457.71 = 269.91/x
  3. Step 3: Cross multiply
    332.25x = 457.71 × 269.91
  4. Step 4: Simplify right side
    332.25x = 123,540.51
  5. Step 5: Solve for x
    x = 123,540.51/332.25
  6. Step 6: Final answer
    x = 371.83

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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.