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Finding the Fourth Proportional to 306.76, 420.52 and 301.24

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Solution

The fourth proportional to 306.76, 420.52 and 301.24 is: 412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.76 : 420.52 = 301.24 : x
  2. Step 2: Convert to fraction form
    306.76/420.52 = 301.24/x
  3. Step 3: Cross multiply
    306.76x = 420.52 × 301.24
  4. Step 4: Simplify right side
    306.76x = 126,677.44
  5. Step 5: Solve for x
    x = 126,677.44/306.76
  6. Step 6: Final answer
    x = 412.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.