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Finding the Fourth Proportional to 483.31, 724.47 and 194.95

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Solution

The fourth proportional to 483.31, 724.47 and 194.95 is: 292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.31 : 724.47 = 194.95 : x
  2. Step 2: Convert to fraction form
    483.31/724.47 = 194.95/x
  3. Step 3: Cross multiply
    483.31x = 724.47 × 194.95
  4. Step 4: Simplify right side
    483.31x = 141,235.43
  5. Step 5: Solve for x
    x = 141,235.43/483.31
  6. Step 6: Final answer
    x = 292.23

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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.