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Finding the Fourth Proportional to 458.57, 632.84 and 262.08

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Solution

The fourth proportional to 458.57, 632.84 and 262.08 is: 361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.57 : 632.84 = 262.08 : x
  2. Step 2: Convert to fraction form
    458.57/632.84 = 262.08/x
  3. Step 3: Cross multiply
    458.57x = 632.84 × 262.08
  4. Step 4: Simplify right side
    458.57x = 165,853.40
  5. Step 5: Solve for x
    x = 165,853.40/458.57
  6. Step 6: Final answer
    x = 361.68

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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.