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Finding the Fourth Proportional to 30.69, 42.17 and 27.63

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Solution

The fourth proportional to 30.69, 42.17 and 27.63 is: 37.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.69 : 42.17 = 27.63 : x
  2. Step 2: Convert to fraction form
    30.69/42.17 = 27.63/x
  3. Step 3: Cross multiply
    30.69x = 42.17 × 27.63
  4. Step 4: Simplify right side
    30.69x = 1,165.02
  5. Step 5: Solve for x
    x = 1,165.02/30.69
  6. Step 6: Final answer
    x = 37.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.