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Finding the Fourth Proportional to 237.30, 353.98 and 199.04

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Solution

The fourth proportional to 237.30, 353.98 and 199.04 is: 296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.30 : 353.98 = 199.04 : x
  2. Step 2: Convert to fraction form
    237.30/353.98 = 199.04/x
  3. Step 3: Cross multiply
    237.30x = 353.98 × 199.04
  4. Step 4: Simplify right side
    237.30x = 70,456.18
  5. Step 5: Solve for x
    x = 70,456.18/237.30
  6. Step 6: Final answer
    x = 296.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.