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Finding the Fourth Proportional to 138.85, 208.26 and 41.35

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Solution

The fourth proportional to 138.85, 208.26 and 41.35 is: 62.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.85 : 208.26 = 41.35 : x
  2. Step 2: Convert to fraction form
    138.85/208.26 = 41.35/x
  3. Step 3: Cross multiply
    138.85x = 208.26 × 41.35
  4. Step 4: Simplify right side
    138.85x = 8,611.34
  5. Step 5: Solve for x
    x = 8,611.34/138.85
  6. Step 6: Final answer
    x = 62.02

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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.