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Finding the Fourth Proportional to 427.01, 589.11 and 249.95

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Solution

The fourth proportional to 427.01, 589.11 and 249.95 is: 344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.01 : 589.11 = 249.95 : x
  2. Step 2: Convert to fraction form
    427.01/589.11 = 249.95/x
  3. Step 3: Cross multiply
    427.01x = 589.11 × 249.95
  4. Step 4: Simplify right side
    427.01x = 147,248.04
  5. Step 5: Solve for x
    x = 147,248.04/427.01
  6. Step 6: Final answer
    x = 344.84

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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.