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Finding the Fourth Proportional to 185.66, 276.86 and 160.16

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Solution

The fourth proportional to 185.66, 276.86 and 160.16 is: 238.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.66 : 276.86 = 160.16 : x
  2. Step 2: Convert to fraction form
    185.66/276.86 = 160.16/x
  3. Step 3: Cross multiply
    185.66x = 276.86 × 160.16
  4. Step 4: Simplify right side
    185.66x = 44,341.90
  5. Step 5: Solve for x
    x = 44,341.90/185.66
  6. Step 6: Final answer
    x = 238.83

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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.