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Finding the Fourth Proportional to 309.47, 424.53 and 290.84

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Solution

The fourth proportional to 309.47, 424.53 and 290.84 is: 398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.47 : 424.53 = 290.84 : x
  2. Step 2: Convert to fraction form
    309.47/424.53 = 290.84/x
  3. Step 3: Cross multiply
    309.47x = 424.53 × 290.84
  4. Step 4: Simplify right side
    309.47x = 123,469.24
  5. Step 5: Solve for x
    x = 123,469.24/309.47
  6. Step 6: Final answer
    x = 398.97

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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.