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Finding the Fourth Proportional to 310.39, 462.79 and 304.92

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Solution

The fourth proportional to 310.39, 462.79 and 304.92 is: 454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.39 : 462.79 = 304.92 : x
  2. Step 2: Convert to fraction form
    310.39/462.79 = 304.92/x
  3. Step 3: Cross multiply
    310.39x = 462.79 × 304.92
  4. Step 4: Simplify right side
    310.39x = 141,113.93
  5. Step 5: Solve for x
    x = 141,113.93/310.39
  6. Step 6: Final answer
    x = 454.63

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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.