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Finding the Fourth Proportional to 547.39, 755.19 and 360.97

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Solution

The fourth proportional to 547.39, 755.19 and 360.97 is: 498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.39 : 755.19 = 360.97 : x
  2. Step 2: Convert to fraction form
    547.39/755.19 = 360.97/x
  3. Step 3: Cross multiply
    547.39x = 755.19 × 360.97
  4. Step 4: Simplify right side
    547.39x = 272,600.93
  5. Step 5: Solve for x
    x = 272,600.93/547.39
  6. Step 6: Final answer
    x = 498.00

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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.