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Finding the Fourth Proportional to 217.55, 300.08 and 138.77

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Solution

The fourth proportional to 217.55, 300.08 and 138.77 is: 191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.55 : 300.08 = 138.77 : x
  2. Step 2: Convert to fraction form
    217.55/300.08 = 138.77/x
  3. Step 3: Cross multiply
    217.55x = 300.08 × 138.77
  4. Step 4: Simplify right side
    217.55x = 41,639.91
  5. Step 5: Solve for x
    x = 41,639.91/217.55
  6. Step 6: Final answer
    x = 191.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.