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Finding the Fourth Proportional to 306.72, 425.19 and 296.64

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Solution

The fourth proportional to 306.72, 425.19 and 296.64 is: 411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.72 : 425.19 = 296.64 : x
  2. Step 2: Convert to fraction form
    306.72/425.19 = 296.64/x
  3. Step 3: Cross multiply
    306.72x = 425.19 × 296.64
  4. Step 4: Simplify right side
    306.72x = 126,128.36
  5. Step 5: Solve for x
    x = 126,128.36/306.72
  6. Step 6: Final answer
    x = 411.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.