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Finding the Fourth Proportional to 544.68, 751.65 and 296

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Solution

The fourth proportional to 544.68, 751.65 and 296 is: 408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.68 : 751.65 = 296 : x
  2. Step 2: Convert to fraction form
    544.68/751.65 = 296/x
  3. Step 3: Cross multiply
    544.68x = 751.65 × 296
  4. Step 4: Simplify right side
    544.68x = 222,488.40
  5. Step 5: Solve for x
    x = 222,488.40/544.68
  6. Step 6: Final answer
    x = 408.48

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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.