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Finding the Fourth Proportional to 195.79, 291.98 and 180.04

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Solution

The fourth proportional to 195.79, 291.98 and 180.04 is: 268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.79 : 291.98 = 180.04 : x
  2. Step 2: Convert to fraction form
    195.79/291.98 = 180.04/x
  3. Step 3: Cross multiply
    195.79x = 291.98 × 180.04
  4. Step 4: Simplify right side
    195.79x = 52,568.08
  5. Step 5: Solve for x
    x = 52,568.08/195.79
  6. Step 6: Final answer
    x = 268.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.