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Finding the Fourth Proportional to 185.98, 277.72 and 176.62

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Solution

The fourth proportional to 185.98, 277.72 and 176.62 is: 263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.98 : 277.72 = 176.62 : x
  2. Step 2: Convert to fraction form
    185.98/277.72 = 176.62/x
  3. Step 3: Cross multiply
    185.98x = 277.72 × 176.62
  4. Step 4: Simplify right side
    185.98x = 49,050.91
  5. Step 5: Solve for x
    x = 49,050.91/185.98
  6. Step 6: Final answer
    x = 263.74

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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.