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Finding the Fourth Proportional to 140.92, 210.34 and 122.70

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Solution

The fourth proportional to 140.92, 210.34 and 122.70 is: 183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.92 : 210.34 = 122.70 : x
  2. Step 2: Convert to fraction form
    140.92/210.34 = 122.70/x
  3. Step 3: Cross multiply
    140.92x = 210.34 × 122.70
  4. Step 4: Simplify right side
    140.92x = 25,808.72
  5. Step 5: Solve for x
    x = 25,808.72/140.92
  6. Step 6: Final answer
    x = 183.14

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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.