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Finding the Fourth Proportional to 200.16, 275.61 and 170.60

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Solution

The fourth proportional to 200.16, 275.61 and 170.60 is: 234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.16 : 275.61 = 170.60 : x
  2. Step 2: Convert to fraction form
    200.16/275.61 = 170.60/x
  3. Step 3: Cross multiply
    200.16x = 275.61 × 170.60
  4. Step 4: Simplify right side
    200.16x = 47,017.69
  5. Step 5: Solve for x
    x = 47,017.69/200.16
  6. Step 6: Final answer
    x = 234.90

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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.