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Finding the Fourth Proportional to 458.13, 632.22 and 283.57

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Solution

The fourth proportional to 458.13, 632.22 and 283.57 is: 391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.13 : 632.22 = 283.57 : x
  2. Step 2: Convert to fraction form
    458.13/632.22 = 283.57/x
  3. Step 3: Cross multiply
    458.13x = 632.22 × 283.57
  4. Step 4: Simplify right side
    458.13x = 179,278.63
  5. Step 5: Solve for x
    x = 179,278.63/458.13
  6. Step 6: Final answer
    x = 391.33

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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.