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Finding the Fourth Proportional to 138.02, 205.65 and 131.06

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Solution

The fourth proportional to 138.02, 205.65 and 131.06 is: 195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.02 : 205.65 = 131.06 : x
  2. Step 2: Convert to fraction form
    138.02/205.65 = 131.06/x
  3. Step 3: Cross multiply
    138.02x = 205.65 × 131.06
  4. Step 4: Simplify right side
    138.02x = 26,951.83
  5. Step 5: Solve for x
    x = 26,951.83/138.02
  6. Step 6: Final answer
    x = 195.27

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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.