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Finding the Fourth Proportional to 315.82, 431.98 and 310.78

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Solution

The fourth proportional to 315.82, 431.98 and 310.78 is: 425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.82 : 431.98 = 310.78 : x
  2. Step 2: Convert to fraction form
    315.82/431.98 = 310.78/x
  3. Step 3: Cross multiply
    315.82x = 431.98 × 310.78
  4. Step 4: Simplify right side
    315.82x = 134,250.74
  5. Step 5: Solve for x
    x = 134,250.74/315.82
  6. Step 6: Final answer
    x = 425.09

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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.