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Finding the Fourth Proportional to 181.86, 272.90 and 99.75

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Solution

The fourth proportional to 181.86, 272.90 and 99.75 is: 149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.86 : 272.90 = 99.75 : x
  2. Step 2: Convert to fraction form
    181.86/272.90 = 99.75/x
  3. Step 3: Cross multiply
    181.86x = 272.90 × 99.75
  4. Step 4: Simplify right side
    181.86x = 27,223.05
  5. Step 5: Solve for x
    x = 27,223.05/181.86
  6. Step 6: Final answer
    x = 149.70

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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.