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Finding the Fourth Proportional to 65.68, 90.61 and 41.11

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Solution

The fourth proportional to 65.68, 90.61 and 41.11 is: 56.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.68 : 90.61 = 41.11 : x
  2. Step 2: Convert to fraction form
    65.68/90.61 = 41.11/x
  3. Step 3: Cross multiply
    65.68x = 90.61 × 41.11
  4. Step 4: Simplify right side
    65.68x = 3,724.98
  5. Step 5: Solve for x
    x = 3,724.98/65.68
  6. Step 6: Final answer
    x = 56.71

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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.