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Finding the Fourth Proportional to 544.28, 751.14 and 311.42

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Solution

The fourth proportional to 544.28, 751.14 and 311.42 is: 429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.28 : 751.14 = 311.42 : x
  2. Step 2: Convert to fraction form
    544.28/751.14 = 311.42/x
  3. Step 3: Cross multiply
    544.28x = 751.14 × 311.42
  4. Step 4: Simplify right side
    544.28x = 233,920.02
  5. Step 5: Solve for x
    x = 233,920.02/544.28
  6. Step 6: Final answer
    x = 429.78

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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.