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Finding the Fourth Proportional to 67.85, 93.63 and 40.23

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Solution

The fourth proportional to 67.85, 93.63 and 40.23 is: 55.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.85 : 93.63 = 40.23 : x
  2. Step 2: Convert to fraction form
    67.85/93.63 = 40.23/x
  3. Step 3: Cross multiply
    67.85x = 93.63 × 40.23
  4. Step 4: Simplify right side
    67.85x = 3,767.24
  5. Step 5: Solve for x
    x = 3,767.24/67.85
  6. Step 6: Final answer
    x = 55.52

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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.