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Finding the Fourth Proportional to 134.06, 200.17 and 106.70

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Solution

The fourth proportional to 134.06, 200.17 and 106.70 is: 159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.06 : 200.17 = 106.70 : x
  2. Step 2: Convert to fraction form
    134.06/200.17 = 106.70/x
  3. Step 3: Cross multiply
    134.06x = 200.17 × 106.70
  4. Step 4: Simplify right side
    134.06x = 21,358.14
  5. Step 5: Solve for x
    x = 21,358.14/134.06
  6. Step 6: Final answer
    x = 159.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.