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Finding the Fourth Proportional to 310.39, 462.34 and 296.35

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Solution

The fourth proportional to 310.39, 462.34 and 296.35 is: 441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.39 : 462.34 = 296.35 : x
  2. Step 2: Convert to fraction form
    310.39/462.34 = 296.35/x
  3. Step 3: Cross multiply
    310.39x = 462.34 × 296.35
  4. Step 4: Simplify right side
    310.39x = 137,012.15
  5. Step 5: Solve for x
    x = 137,012.15/310.39
  6. Step 6: Final answer
    x = 441.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.