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Finding the Fourth Proportional to 45.09, 67.78 and 36.59

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Solution

The fourth proportional to 45.09, 67.78 and 36.59 is: 55.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.09 : 67.78 = 36.59 : x
  2. Step 2: Convert to fraction form
    45.09/67.78 = 36.59/x
  3. Step 3: Cross multiply
    45.09x = 67.78 × 36.59
  4. Step 4: Simplify right side
    45.09x = 2,480.11
  5. Step 5: Solve for x
    x = 2,480.11/45.09
  6. Step 6: Final answer
    x = 55.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.