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Finding the Fourth Proportional to 309.80, 428.52 and 252.92

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Solution

The fourth proportional to 309.80, 428.52 and 252.92 is: 349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.80 : 428.52 = 252.92 : x
  2. Step 2: Convert to fraction form
    309.80/428.52 = 252.92/x
  3. Step 3: Cross multiply
    309.80x = 428.52 × 252.92
  4. Step 4: Simplify right side
    309.80x = 108,381.28
  5. Step 5: Solve for x
    x = 108,381.28/309.80
  6. Step 6: Final answer
    x = 349.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.