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Finding the Fourth Proportional to 184.54, 276.13 and 154.12

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Solution

The fourth proportional to 184.54, 276.13 and 154.12 is: 230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.54 : 276.13 = 154.12 : x
  2. Step 2: Convert to fraction form
    184.54/276.13 = 154.12/x
  3. Step 3: Cross multiply
    184.54x = 276.13 × 154.12
  4. Step 4: Simplify right side
    184.54x = 42,557.16
  5. Step 5: Solve for x
    x = 42,557.16/184.54
  6. Step 6: Final answer
    x = 230.61

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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.