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Finding the Fourth Proportional to 306.78, 460.20 and 184.86

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Solution

The fourth proportional to 306.78, 460.20 and 184.86 is: 277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.78 : 460.20 = 184.86 : x
  2. Step 2: Convert to fraction form
    306.78/460.20 = 184.86/x
  3. Step 3: Cross multiply
    306.78x = 460.20 × 184.86
  4. Step 4: Simplify right side
    306.78x = 85,072.57
  5. Step 5: Solve for x
    x = 85,072.57/306.78
  6. Step 6: Final answer
    x = 277.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.