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Finding the Fourth Proportional to 309.76, 426.24 and 301.24

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Solution

The fourth proportional to 309.76, 426.24 and 301.24 is: 414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.76 : 426.24 = 301.24 : x
  2. Step 2: Convert to fraction form
    309.76/426.24 = 301.24/x
  3. Step 3: Cross multiply
    309.76x = 426.24 × 301.24
  4. Step 4: Simplify right side
    309.76x = 128,400.54
  5. Step 5: Solve for x
    x = 128,400.54/309.76
  6. Step 6: Final answer
    x = 414.52

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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.