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Finding the Fourth Proportional to 458.25, 632.39 and 251.25

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Solution

The fourth proportional to 458.25, 632.39 and 251.25 is: 346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.25 : 632.39 = 251.25 : x
  2. Step 2: Convert to fraction form
    458.25/632.39 = 251.25/x
  3. Step 3: Cross multiply
    458.25x = 632.39 × 251.25
  4. Step 4: Simplify right side
    458.25x = 158,886.73
  5. Step 5: Solve for x
    x = 158,886.73/458.25
  6. Step 6: Final answer
    x = 346.73

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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.