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Finding the Fourth Proportional to 310.20, 425.29 and 304.66

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Solution

The fourth proportional to 310.20, 425.29 and 304.66 is: 417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.20 : 425.29 = 304.66 : x
  2. Step 2: Convert to fraction form
    310.20/425.29 = 304.66/x
  3. Step 3: Cross multiply
    310.20x = 425.29 × 304.66
  4. Step 4: Simplify right side
    310.20x = 129,568.85
  5. Step 5: Solve for x
    x = 129,568.85/310.20
  6. Step 6: Final answer
    x = 417.69

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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.