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Finding the Fourth Proportional to 181.97, 272.95 and 53.72

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Solution

The fourth proportional to 181.97, 272.95 and 53.72 is: 80.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.97 : 272.95 = 53.72 : x
  2. Step 2: Convert to fraction form
    181.97/272.95 = 53.72/x
  3. Step 3: Cross multiply
    181.97x = 272.95 × 53.72
  4. Step 4: Simplify right side
    181.97x = 14,662.87
  5. Step 5: Solve for x
    x = 14,662.87/181.97
  6. Step 6: Final answer
    x = 80.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.