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Finding the Fourth Proportional to 200.71, 302.61 and 170.49

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Solution

The fourth proportional to 200.71, 302.61 and 170.49 is: 257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.71 : 302.61 = 170.49 : x
  2. Step 2: Convert to fraction form
    200.71/302.61 = 170.49/x
  3. Step 3: Cross multiply
    200.71x = 302.61 × 170.49
  4. Step 4: Simplify right side
    200.71x = 51,591.98
  5. Step 5: Solve for x
    x = 51,591.98/200.71
  6. Step 6: Final answer
    x = 257.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.