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Finding the Fourth Proportional to 181.85, 272.92 and 90.64

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Solution

The fourth proportional to 181.85, 272.92 and 90.64 is: 136.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.85 : 272.92 = 90.64 : x
  2. Step 2: Convert to fraction form
    181.85/272.92 = 90.64/x
  3. Step 3: Cross multiply
    181.85x = 272.92 × 90.64
  4. Step 4: Simplify right side
    181.85x = 24,737.47
  5. Step 5: Solve for x
    x = 24,737.47/181.85
  6. Step 6: Final answer
    x = 136.03

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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.