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Finding the Fourth Proportional to 458.23, 632.33 and 261.71

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Solution

The fourth proportional to 458.23, 632.33 and 261.71 is: 361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.23 : 632.33 = 261.71 : x
  2. Step 2: Convert to fraction form
    458.23/632.33 = 261.71/x
  3. Step 3: Cross multiply
    458.23x = 632.33 × 261.71
  4. Step 4: Simplify right side
    458.23x = 165,482.61
  5. Step 5: Solve for x
    x = 165,482.61/458.23
  6. Step 6: Final answer
    x = 361.14

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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.