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Finding the Fourth Proportional to 332.08, 497.50 and 194.90

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Solution

The fourth proportional to 332.08, 497.50 and 194.90 is: 291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.08 : 497.50 = 194.90 : x
  2. Step 2: Convert to fraction form
    332.08/497.50 = 194.90/x
  3. Step 3: Cross multiply
    332.08x = 497.50 × 194.90
  4. Step 4: Simplify right side
    332.08x = 96,962.75
  5. Step 5: Solve for x
    x = 96,962.75/332.08
  6. Step 6: Final answer
    x = 291.99

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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.