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Finding the Fourth Proportional to 632.60, 948.48 and 308.24

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Solution

The fourth proportional to 632.60, 948.48 and 308.24 is: 462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.60 : 948.48 = 308.24 : x
  2. Step 2: Convert to fraction form
    632.60/948.48 = 308.24/x
  3. Step 3: Cross multiply
    632.60x = 948.48 × 308.24
  4. Step 4: Simplify right side
    632.60x = 292,359.48
  5. Step 5: Solve for x
    x = 292,359.48/632.60
  6. Step 6: Final answer
    x = 462.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.