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Finding the Fourth Proportional to 195.29, 291.01 and 189.72

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Solution

The fourth proportional to 195.29, 291.01 and 189.72 is: 282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.29 : 291.01 = 189.72 : x
  2. Step 2: Convert to fraction form
    195.29/291.01 = 189.72/x
  3. Step 3: Cross multiply
    195.29x = 291.01 × 189.72
  4. Step 4: Simplify right side
    195.29x = 55,210.42
  5. Step 5: Solve for x
    x = 55,210.42/195.29
  6. Step 6: Final answer
    x = 282.71

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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.