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Finding the Fourth Proportional to 458.23, 632.31 and 261.76

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Solution

The fourth proportional to 458.23, 632.31 and 261.76 is: 361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.23 : 632.31 = 261.76 : x
  2. Step 2: Convert to fraction form
    458.23/632.31 = 261.76/x
  3. Step 3: Cross multiply
    458.23x = 632.31 × 261.76
  4. Step 4: Simplify right side
    458.23x = 165,513.47
  5. Step 5: Solve for x
    x = 165,513.47/458.23
  6. Step 6: Final answer
    x = 361.20

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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.