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Finding the Fourth Proportional to 181.64, 270.28 and 175.72

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Solution

The fourth proportional to 181.64, 270.28 and 175.72 is: 261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.64 : 270.28 = 175.72 : x
  2. Step 2: Convert to fraction form
    181.64/270.28 = 175.72/x
  3. Step 3: Cross multiply
    181.64x = 270.28 × 175.72
  4. Step 4: Simplify right side
    181.64x = 47,493.60
  5. Step 5: Solve for x
    x = 47,493.60/181.64
  6. Step 6: Final answer
    x = 261.47

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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.