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Finding the Fourth Proportional to 30.77, 42.23 and 27.27

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Solution

The fourth proportional to 30.77, 42.23 and 27.27 is: 37.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.77 : 42.23 = 27.27 : x
  2. Step 2: Convert to fraction form
    30.77/42.23 = 27.27/x
  3. Step 3: Cross multiply
    30.77x = 42.23 × 27.27
  4. Step 4: Simplify right side
    30.77x = 1,151.61
  5. Step 5: Solve for x
    x = 1,151.61/30.77
  6. Step 6: Final answer
    x = 37.43

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1.5x scale

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.