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Finding the Fourth Proportional to 337.95, 505.02 and 272.22

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Solution

The fourth proportional to 337.95, 505.02 and 272.22 is: 406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.95 : 505.02 = 272.22 : x
  2. Step 2: Convert to fraction form
    337.95/505.02 = 272.22/x
  3. Step 3: Cross multiply
    337.95x = 505.02 × 272.22
  4. Step 4: Simplify right side
    337.95x = 137,476.54
  5. Step 5: Solve for x
    x = 137,476.54/337.95
  6. Step 6: Final answer
    x = 406.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.