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Finding the Fourth Proportional to 195.62, 294.50 and 135.15

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Solution

The fourth proportional to 195.62, 294.50 and 135.15 is: 203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.62 : 294.50 = 135.15 : x
  2. Step 2: Convert to fraction form
    195.62/294.50 = 135.15/x
  3. Step 3: Cross multiply
    195.62x = 294.50 × 135.15
  4. Step 4: Simplify right side
    195.62x = 39,801.00
  5. Step 5: Solve for x
    x = 39,801.00/195.62
  6. Step 6: Final answer
    x = 203.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.