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Finding the Fourth Proportional to 181.53, 249.12 and 176.94

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Solution

The fourth proportional to 181.53, 249.12 and 176.94 is: 242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.53 : 249.12 = 176.94 : x
  2. Step 2: Convert to fraction form
    181.53/249.12 = 176.94/x
  3. Step 3: Cross multiply
    181.53x = 249.12 × 176.94
  4. Step 4: Simplify right side
    181.53x = 44,079.29
  5. Step 5: Solve for x
    x = 44,079.29/181.53
  6. Step 6: Final answer
    x = 242.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.