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Finding the Fourth Proportional to 138.02, 207.07 and 41.83

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Solution

The fourth proportional to 138.02, 207.07 and 41.83 is: 62.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.02 : 207.07 = 41.83 : x
  2. Step 2: Convert to fraction form
    138.02/207.07 = 41.83/x
  3. Step 3: Cross multiply
    138.02x = 207.07 × 41.83
  4. Step 4: Simplify right side
    138.02x = 8,661.74
  5. Step 5: Solve for x
    x = 8,661.74/138.02
  6. Step 6: Final answer
    x = 62.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.