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Finding the Fourth Proportional to 138.56, 207.11 and 98.01

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Solution

The fourth proportional to 138.56, 207.11 and 98.01 is: 146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.56 : 207.11 = 98.01 : x
  2. Step 2: Convert to fraction form
    138.56/207.11 = 98.01/x
  3. Step 3: Cross multiply
    138.56x = 207.11 × 98.01
  4. Step 4: Simplify right side
    138.56x = 20,298.54
  5. Step 5: Solve for x
    x = 20,298.54/138.56
  6. Step 6: Final answer
    x = 146.50

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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.