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Finding the Fourth Proportional to 195.64, 269.71 and 156.43

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Solution

The fourth proportional to 195.64, 269.71 and 156.43 is: 215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.64 : 269.71 = 156.43 : x
  2. Step 2: Convert to fraction form
    195.64/269.71 = 156.43/x
  3. Step 3: Cross multiply
    195.64x = 269.71 × 156.43
  4. Step 4: Simplify right side
    195.64x = 42,190.74
  5. Step 5: Solve for x
    x = 42,190.74/195.64
  6. Step 6: Final answer
    x = 215.65

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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.