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Finding the Fourth Proportional to 544.38, 751.31 and 311.50

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Solution

The fourth proportional to 544.38, 751.31 and 311.50 is: 429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.38 : 751.31 = 311.50 : x
  2. Step 2: Convert to fraction form
    544.38/751.31 = 311.50/x
  3. Step 3: Cross multiply
    544.38x = 751.31 × 311.50
  4. Step 4: Simplify right side
    544.38x = 234,033.07
  5. Step 5: Solve for x
    x = 234,033.07/544.38
  6. Step 6: Final answer
    x = 429.91

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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.