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Finding the Fourth Proportional to 181.34, 251.72 and 177.02

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Solution

The fourth proportional to 181.34, 251.72 and 177.02 is: 245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.34 : 251.72 = 177.02 : x
  2. Step 2: Convert to fraction form
    181.34/251.72 = 177.02/x
  3. Step 3: Cross multiply
    181.34x = 251.72 × 177.02
  4. Step 4: Simplify right side
    181.34x = 44,557.33
  5. Step 5: Solve for x
    x = 44,557.33/181.34
  6. Step 6: Final answer
    x = 245.72

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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.