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Finding the Fourth Proportional to 31.03, 42.77 and 27.99

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Solution

The fourth proportional to 31.03, 42.77 and 27.99 is: 38.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.03 : 42.77 = 27.99 : x
  2. Step 2: Convert to fraction form
    31.03/42.77 = 27.99/x
  3. Step 3: Cross multiply
    31.03x = 42.77 × 27.99
  4. Step 4: Simplify right side
    31.03x = 1,197.20
  5. Step 5: Solve for x
    x = 1,197.20/31.03
  6. Step 6: Final answer
    x = 38.59

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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.