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Finding the Fourth Proportional to 402.80, 603.88 and 197.46

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Solution

The fourth proportional to 402.80, 603.88 and 197.46 is: 296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.80 : 603.88 = 197.46 : x
  2. Step 2: Convert to fraction form
    402.80/603.88 = 197.46/x
  3. Step 3: Cross multiply
    402.80x = 603.88 × 197.46
  4. Step 4: Simplify right side
    402.80x = 119,241.65
  5. Step 5: Solve for x
    x = 119,241.65/402.80
  6. Step 6: Final answer
    x = 296.04

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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.