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Finding the Fourth Proportional to 43.05, 64.23 and 36.69

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Solution

The fourth proportional to 43.05, 64.23 and 36.69 is: 54.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.05 : 64.23 = 36.69 : x
  2. Step 2: Convert to fraction form
    43.05/64.23 = 36.69/x
  3. Step 3: Cross multiply
    43.05x = 64.23 × 36.69
  4. Step 4: Simplify right side
    43.05x = 2,356.60
  5. Step 5: Solve for x
    x = 2,356.60/43.05
  6. Step 6: Final answer
    x = 54.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.