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Finding the Fourth Proportional to 544.14, 750.90 and 311.31

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Solution

The fourth proportional to 544.14, 750.90 and 311.31 is: 429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.14 : 750.90 = 311.31 : x
  2. Step 2: Convert to fraction form
    544.14/750.90 = 311.31/x
  3. Step 3: Cross multiply
    544.14x = 750.90 × 311.31
  4. Step 4: Simplify right side
    544.14x = 233,762.68
  5. Step 5: Solve for x
    x = 233,762.68/544.14
  6. Step 6: Final answer
    x = 429.60

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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.