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Finding the Fourth Proportional to 458.26, 632.40 and 248.44

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Solution

The fourth proportional to 458.26, 632.40 and 248.44 is: 342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.26 : 632.40 = 248.44 : x
  2. Step 2: Convert to fraction form
    458.26/632.40 = 248.44/x
  3. Step 3: Cross multiply
    458.26x = 632.40 × 248.44
  4. Step 4: Simplify right side
    458.26x = 157,113.53
  5. Step 5: Solve for x
    x = 157,113.53/458.26
  6. Step 6: Final answer
    x = 342.85

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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.