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Finding the Fourth Proportional to 195.53, 292.61 and 170.13

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Solution

The fourth proportional to 195.53, 292.61 and 170.13 is: 254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.53 : 292.61 = 170.13 : x
  2. Step 2: Convert to fraction form
    195.53/292.61 = 170.13/x
  3. Step 3: Cross multiply
    195.53x = 292.61 × 170.13
  4. Step 4: Simplify right side
    195.53x = 49,780.89
  5. Step 5: Solve for x
    x = 49,780.89/195.53
  6. Step 6: Final answer
    x = 254.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.