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Finding the Fourth Proportional to 309.97, 425.22 and 291.34

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Solution

The fourth proportional to 309.97, 425.22 and 291.34 is: 399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.97 : 425.22 = 291.34 : x
  2. Step 2: Convert to fraction form
    309.97/425.22 = 291.34/x
  3. Step 3: Cross multiply
    309.97x = 425.22 × 291.34
  4. Step 4: Simplify right side
    309.97x = 123,882.14
  5. Step 5: Solve for x
    x = 123,882.14/309.97
  6. Step 6: Final answer
    x = 399.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.