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Finding the Fourth Proportional to 184.30, 276.24 and 86.68

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Solution

The fourth proportional to 184.30, 276.24 and 86.68 is: 129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.30 : 276.24 = 86.68 : x
  2. Step 2: Convert to fraction form
    184.30/276.24 = 86.68/x
  3. Step 3: Cross multiply
    184.30x = 276.24 × 86.68
  4. Step 4: Simplify right side
    184.30x = 23,944.48
  5. Step 5: Solve for x
    x = 23,944.48/184.30
  6. Step 6: Final answer
    x = 129.92

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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.