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Finding the Fourth Proportional to 544.99, 752.09 and 296.31

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Solution

The fourth proportional to 544.99, 752.09 and 296.31 is: 408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.99 : 752.09 = 296.31 : x
  2. Step 2: Convert to fraction form
    544.99/752.09 = 296.31/x
  3. Step 3: Cross multiply
    544.99x = 752.09 × 296.31
  4. Step 4: Simplify right side
    544.99x = 222,854.24
  5. Step 5: Solve for x
    x = 222,854.24/544.99
  6. Step 6: Final answer
    x = 408.91

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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.