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Finding the Fourth Proportional to 306.55, 460.05 and 184.87

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Solution

The fourth proportional to 306.55, 460.05 and 184.87 is: 277.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.55 : 460.05 = 184.87 : x
  2. Step 2: Convert to fraction form
    306.55/460.05 = 184.87/x
  3. Step 3: Cross multiply
    306.55x = 460.05 × 184.87
  4. Step 4: Simplify right side
    306.55x = 85,049.44
  5. Step 5: Solve for x
    x = 85,049.44/306.55
  6. Step 6: Final answer
    x = 277.44

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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.