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Finding the Fourth Proportional to 67.87, 93.64 and 40.23

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Solution

The fourth proportional to 67.87, 93.64 and 40.23 is: 55.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.87 : 93.64 = 40.23 : x
  2. Step 2: Convert to fraction form
    67.87/93.64 = 40.23/x
  3. Step 3: Cross multiply
    67.87x = 93.64 × 40.23
  4. Step 4: Simplify right side
    67.87x = 3,767.14
  5. Step 5: Solve for x
    x = 3,767.14/67.87
  6. Step 6: Final answer
    x = 55.51

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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.