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Finding the Fourth Proportional to 65.81, 90.82 and 36.71

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Solution

The fourth proportional to 65.81, 90.82 and 36.71 is: 50.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.81 : 90.82 = 36.71 : x
  2. Step 2: Convert to fraction form
    65.81/90.82 = 36.71/x
  3. Step 3: Cross multiply
    65.81x = 90.82 × 36.71
  4. Step 4: Simplify right side
    65.81x = 3,333.93
  5. Step 5: Solve for x
    x = 3,333.93/65.81
  6. Step 6: Final answer
    x = 50.66

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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.