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Finding the Fourth Proportional to 296.24, 446.08 and 219.75

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Solution

The fourth proportional to 296.24, 446.08 and 219.75 is: 330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.24 : 446.08 = 219.75 : x
  2. Step 2: Convert to fraction form
    296.24/446.08 = 219.75/x
  3. Step 3: Cross multiply
    296.24x = 446.08 × 219.75
  4. Step 4: Simplify right side
    296.24x = 98,023.85
  5. Step 5: Solve for x
    x = 98,023.85/296.24
  6. Step 6: Final answer
    x = 330.89

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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.