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Finding the Fourth Proportional to 547.29, 755.25 and 298.61

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Solution

The fourth proportional to 547.29, 755.25 and 298.61 is: 412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.29 : 755.25 = 298.61 : x
  2. Step 2: Convert to fraction form
    547.29/755.25 = 298.61/x
  3. Step 3: Cross multiply
    547.29x = 755.25 × 298.61
  4. Step 4: Simplify right side
    547.29x = 225,525.20
  5. Step 5: Solve for x
    x = 225,525.20/547.29
  6. Step 6: Final answer
    x = 412.08

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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.