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Finding the Fourth Proportional to 291.25, 437.07 and 265.73

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Solution

The fourth proportional to 291.25, 437.07 and 265.73 is: 398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.25 : 437.07 = 265.73 : x
  2. Step 2: Convert to fraction form
    291.25/437.07 = 265.73/x
  3. Step 3: Cross multiply
    291.25x = 437.07 × 265.73
  4. Step 4: Simplify right side
    291.25x = 116,142.61
  5. Step 5: Solve for x
    x = 116,142.61/291.25
  6. Step 6: Final answer
    x = 398.78

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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.