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Finding the Fourth Proportional to 191.64, 265.67 and 181.24

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Solution

The fourth proportional to 191.64, 265.67 and 181.24 is: 251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.64 : 265.67 = 181.24 : x
  2. Step 2: Convert to fraction form
    191.64/265.67 = 181.24/x
  3. Step 3: Cross multiply
    191.64x = 265.67 × 181.24
  4. Step 4: Simplify right side
    191.64x = 48,149.46
  5. Step 5: Solve for x
    x = 48,149.46/191.64
  6. Step 6: Final answer
    x = 251.25

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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.