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Finding the Fourth Proportional to 195.17, 269.08 and 160.18

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Solution

The fourth proportional to 195.17, 269.08 and 160.18 is: 220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.17 : 269.08 = 160.18 : x
  2. Step 2: Convert to fraction form
    195.17/269.08 = 160.18/x
  3. Step 3: Cross multiply
    195.17x = 269.08 × 160.18
  4. Step 4: Simplify right side
    195.17x = 43,100.16
  5. Step 5: Solve for x
    x = 43,100.16/195.17
  6. Step 6: Final answer
    x = 220.84

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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.