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Finding the Fourth Proportional to 62.27, 85.96 and 50.02

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Solution

The fourth proportional to 62.27, 85.96 and 50.02 is: 69.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.27 : 85.96 = 50.02 : x
  2. Step 2: Convert to fraction form
    62.27/85.96 = 50.02/x
  3. Step 3: Cross multiply
    62.27x = 85.96 × 50.02
  4. Step 4: Simplify right side
    62.27x = 4,299.57
  5. Step 5: Solve for x
    x = 4,299.57/62.27
  6. Step 6: Final answer
    x = 69.05

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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.