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Finding the Fourth Proportional to 310.16, 426.24 and 295.90

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Solution

The fourth proportional to 310.16, 426.24 and 295.90 is: 406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.16 : 426.24 = 295.90 : x
  2. Step 2: Convert to fraction form
    310.16/426.24 = 295.90/x
  3. Step 3: Cross multiply
    310.16x = 426.24 × 295.90
  4. Step 4: Simplify right side
    310.16x = 126,123.35
  5. Step 5: Solve for x
    x = 126,123.35/310.16
  6. Step 6: Final answer
    x = 406.64

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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.