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Finding the Fourth Proportional to 185.32, 276.80 and 154.92

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Solution

The fourth proportional to 185.32, 276.80 and 154.92 is: 231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.32 : 276.80 = 154.92 : x
  2. Step 2: Convert to fraction form
    185.32/276.80 = 154.92/x
  3. Step 3: Cross multiply
    185.32x = 276.80 × 154.92
  4. Step 4: Simplify right side
    185.32x = 42,881.86
  5. Step 5: Solve for x
    x = 42,881.86/185.32
  6. Step 6: Final answer
    x = 231.40

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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.