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Finding the Fourth Proportional to 544.90, 751.96 and 296.22

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Solution

The fourth proportional to 544.90, 751.96 and 296.22 is: 408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.90 : 751.96 = 296.22 : x
  2. Step 2: Convert to fraction form
    544.90/751.96 = 296.22/x
  3. Step 3: Cross multiply
    544.90x = 751.96 × 296.22
  4. Step 4: Simplify right side
    544.90x = 222,741.83
  5. Step 5: Solve for x
    x = 222,741.83/544.90
  6. Step 6: Final answer
    x = 408.78

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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.