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Finding the Fourth Proportional to 310.05, 425.61 and 298.98

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Solution

The fourth proportional to 310.05, 425.61 and 298.98 is: 410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.05 : 425.61 = 298.98 : x
  2. Step 2: Convert to fraction form
    310.05/425.61 = 298.98/x
  3. Step 3: Cross multiply
    310.05x = 425.61 × 298.98
  4. Step 4: Simplify right side
    310.05x = 127,248.88
  5. Step 5: Solve for x
    x = 127,248.88/310.05
  6. Step 6: Final answer
    x = 410.41

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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.