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Finding the Fourth Proportional to 183.69, 277.18 and 176.20

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Solution

The fourth proportional to 183.69, 277.18 and 176.20 is: 265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.69 : 277.18 = 176.20 : x
  2. Step 2: Convert to fraction form
    183.69/277.18 = 176.20/x
  3. Step 3: Cross multiply
    183.69x = 277.18 × 176.20
  4. Step 4: Simplify right side
    183.69x = 48,837.98
  5. Step 5: Solve for x
    x = 48,837.98/183.69
  6. Step 6: Final answer
    x = 265.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.