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Finding the Fourth Proportional to 458.60, 632.87 and 262.11

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Solution

The fourth proportional to 458.60, 632.87 and 262.11 is: 361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.60 : 632.87 = 262.11 : x
  2. Step 2: Convert to fraction form
    458.60/632.87 = 262.11/x
  3. Step 3: Cross multiply
    458.60x = 632.87 × 262.11
  4. Step 4: Simplify right side
    458.60x = 165,881.56
  5. Step 5: Solve for x
    x = 165,881.56/458.60
  6. Step 6: Final answer
    x = 361.71

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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.