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Finding the Fourth Proportional to 75.21, 103.67 and 57.68

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Solution

The fourth proportional to 75.21, 103.67 and 57.68 is: 79.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.21 : 103.67 = 57.68 : x
  2. Step 2: Convert to fraction form
    75.21/103.67 = 57.68/x
  3. Step 3: Cross multiply
    75.21x = 103.67 × 57.68
  4. Step 4: Simplify right side
    75.21x = 5,978.88
  5. Step 5: Solve for x
    x = 5,978.88/75.21
  6. Step 6: Final answer
    x = 79.50

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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.