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Finding the Fourth Proportional to 195.68, 268.52 and 177.20

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Solution

The fourth proportional to 195.68, 268.52 and 177.20 is: 243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.68 : 268.52 = 177.20 : x
  2. Step 2: Convert to fraction form
    195.68/268.52 = 177.20/x
  3. Step 3: Cross multiply
    195.68x = 268.52 × 177.20
  4. Step 4: Simplify right side
    195.68x = 47,581.74
  5. Step 5: Solve for x
    x = 47,581.74/195.68
  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.