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Finding the Fourth Proportional to 296.75, 446.87 and 220.26

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Solution

The fourth proportional to 296.75, 446.87 and 220.26 is: 331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.75 : 446.87 = 220.26 : x
  2. Step 2: Convert to fraction form
    296.75/446.87 = 220.26/x
  3. Step 3: Cross multiply
    296.75x = 446.87 × 220.26
  4. Step 4: Simplify right side
    296.75x = 98,428.14
  5. Step 5: Solve for x
    x = 98,428.14/296.75
  6. Step 6: Final answer
    x = 331.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.