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Finding the Fourth Proportional to 332.20, 497.94 and 195.31

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Solution

The fourth proportional to 332.20, 497.94 and 195.31 is: 292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.20 : 497.94 = 195.31 : x
  2. Step 2: Convert to fraction form
    332.20/497.94 = 195.31/x
  3. Step 3: Cross multiply
    332.20x = 497.94 × 195.31
  4. Step 4: Simplify right side
    332.20x = 97,252.66
  5. Step 5: Solve for x
    x = 97,252.66/332.20
  6. Step 6: Final answer
    x = 292.75

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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.