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Finding the Fourth Proportional to 138.01, 205.74 and 131.53

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Solution

The fourth proportional to 138.01, 205.74 and 131.53 is: 196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.01 : 205.74 = 131.53 : x
  2. Step 2: Convert to fraction form
    138.01/205.74 = 131.53/x
  3. Step 3: Cross multiply
    138.01x = 205.74 × 131.53
  4. Step 4: Simplify right side
    138.01x = 27,060.71
  5. Step 5: Solve for x
    x = 27,060.71/138.01
  6. Step 6: Final answer
    x = 196.08

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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.