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Finding the Fourth Proportional to 195.30, 292.67 and 141.30

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Solution

The fourth proportional to 195.30, 292.67 and 141.30 is: 211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.30 : 292.67 = 141.30 : x
  2. Step 2: Convert to fraction form
    195.30/292.67 = 141.30/x
  3. Step 3: Cross multiply
    195.30x = 292.67 × 141.30
  4. Step 4: Simplify right side
    195.30x = 41,354.27
  5. Step 5: Solve for x
    x = 41,354.27/195.30
  6. Step 6: Final answer
    x = 211.75

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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.