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Finding the Fourth Proportional to 649.11, 972.38 and 301.97

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Solution

The fourth proportional to 649.11, 972.38 and 301.97 is: 452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.11 : 972.38 = 301.97 : x
  2. Step 2: Convert to fraction form
    649.11/972.38 = 301.97/x
  3. Step 3: Cross multiply
    649.11x = 972.38 × 301.97
  4. Step 4: Simplify right side
    649.11x = 293,623.22
  5. Step 5: Solve for x
    x = 293,623.22/649.11
  6. Step 6: Final answer
    x = 452.35

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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.