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Finding the Fourth Proportional to 310.16, 426.84 and 232.40

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Solution

The fourth proportional to 310.16, 426.84 and 232.40 is: 319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.16 : 426.84 = 232.40 : x
  2. Step 2: Convert to fraction form
    310.16/426.84 = 232.40/x
  3. Step 3: Cross multiply
    310.16x = 426.84 × 232.40
  4. Step 4: Simplify right side
    310.16x = 99,197.62
  5. Step 5: Solve for x
    x = 99,197.62/310.16
  6. Step 6: Final answer
    x = 319.83

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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.