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Finding the Fourth Proportional to 195.61, 269.71 and 133.47

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Solution

The fourth proportional to 195.61, 269.71 and 133.47 is: 184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.61 : 269.71 = 133.47 : x
  2. Step 2: Convert to fraction form
    195.61/269.71 = 133.47/x
  3. Step 3: Cross multiply
    195.61x = 269.71 × 133.47
  4. Step 4: Simplify right side
    195.61x = 35,998.19
  5. Step 5: Solve for x
    x = 35,998.19/195.61
  6. Step 6: Final answer
    x = 184.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.