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Finding the Fourth Proportional to 199.08, 273.12 and 177.24

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Solution

The fourth proportional to 199.08, 273.12 and 177.24 is: 243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.08 : 273.12 = 177.24 : x
  2. Step 2: Convert to fraction form
    199.08/273.12 = 177.24/x
  3. Step 3: Cross multiply
    199.08x = 273.12 × 177.24
  4. Step 4: Simplify right side
    199.08x = 48,407.79
  5. Step 5: Solve for x
    x = 48,407.79/199.08
  6. Step 6: Final answer
    x = 243.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.