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Finding the Fourth Proportional to 181.92, 252.32 and 175.20

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Solution

The fourth proportional to 181.92, 252.32 and 175.20 is: 243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.92 : 252.32 = 175.20 : x
  2. Step 2: Convert to fraction form
    181.92/252.32 = 175.20/x
  3. Step 3: Cross multiply
    181.92x = 252.32 × 175.20
  4. Step 4: Simplify right side
    181.92x = 44,206.46
  5. Step 5: Solve for x
    x = 44,206.46/181.92
  6. Step 6: Final answer
    x = 243.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.