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Finding the Fourth Proportional to 67.44, 93.09 and 42.90

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Solution

The fourth proportional to 67.44, 93.09 and 42.90 is: 59.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.44 : 93.09 = 42.90 : x
  2. Step 2: Convert to fraction form
    67.44/93.09 = 42.90/x
  3. Step 3: Cross multiply
    67.44x = 93.09 × 42.90
  4. Step 4: Simplify right side
    67.44x = 3,993.37
  5. Step 5: Solve for x
    x = 3,993.37/67.44
  6. Step 6: Final answer
    x = 59.21

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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.