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Finding the Fourth Proportional to 310.20, 425.31 and 304.76

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Solution

The fourth proportional to 310.20, 425.31 and 304.76 is: 417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.20 : 425.31 = 304.76 : x
  2. Step 2: Convert to fraction form
    310.20/425.31 = 304.76/x
  3. Step 3: Cross multiply
    310.20x = 425.31 × 304.76
  4. Step 4: Simplify right side
    310.20x = 129,617.48
  5. Step 5: Solve for x
    x = 129,617.48/310.20
  6. Step 6: Final answer
    x = 417.85

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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.