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Finding the Fourth Proportional to 544.94, 752 and 296.25

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Solution

The fourth proportional to 544.94, 752 and 296.25 is: 408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.94 : 752 = 296.25 : x
  2. Step 2: Convert to fraction form
    544.94/752 = 296.25/x
  3. Step 3: Cross multiply
    544.94x = 752 × 296.25
  4. Step 4: Simplify right side
    544.94x = 222,780.94
  5. Step 5: Solve for x
    x = 222,780.94/544.94
  6. Step 6: Final answer
    x = 408.82

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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.