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Finding the Fourth Proportional to 312.94, 465.41 and 306.78

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Solution

The fourth proportional to 312.94, 465.41 and 306.78 is: 456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.94 : 465.41 = 306.78 : x
  2. Step 2: Convert to fraction form
    312.94/465.41 = 306.78/x
  3. Step 3: Cross multiply
    312.94x = 465.41 × 306.78
  4. Step 4: Simplify right side
    312.94x = 142,778.48
  5. Step 5: Solve for x
    x = 142,778.48/312.94
  6. Step 6: Final answer
    x = 456.25

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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.