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Finding the Fourth Proportional to 458.53, 632.71 and 261.97

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Solution

The fourth proportional to 458.53, 632.71 and 261.97 is: 361.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.53 : 632.71 = 261.97 : x
  2. Step 2: Convert to fraction form
    458.53/632.71 = 261.97/x
  3. Step 3: Cross multiply
    458.53x = 632.71 × 261.97
  4. Step 4: Simplify right side
    458.53x = 165,749.78
  5. Step 5: Solve for x
    x = 165,749.78/458.53
  6. Step 6: Final answer
    x = 361.48

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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.