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Finding the Fourth Proportional to 199.69, 275.54 and 116.78

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Solution

The fourth proportional to 199.69, 275.54 and 116.78 is: 161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.69 : 275.54 = 116.78 : x
  2. Step 2: Convert to fraction form
    199.69/275.54 = 116.78/x
  3. Step 3: Cross multiply
    199.69x = 275.54 × 116.78
  4. Step 4: Simplify right side
    199.69x = 32,176.18
  5. Step 5: Solve for x
    x = 32,176.18/199.69
  6. Step 6: Final answer
    x = 161.13

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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.