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Finding the Fourth Proportional to 312.39, 465.77 and 306.92

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Solution

The fourth proportional to 312.39, 465.77 and 306.92 is: 457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.39 : 465.77 = 306.92 : x
  2. Step 2: Convert to fraction form
    312.39/465.77 = 306.92/x
  3. Step 3: Cross multiply
    312.39x = 465.77 × 306.92
  4. Step 4: Simplify right side
    312.39x = 142,954.13
  5. Step 5: Solve for x
    x = 142,954.13/312.39
  6. Step 6: Final answer
    x = 457.61

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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.