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Finding the Fourth Proportional to 22.74, 31.15 and 22.50

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Solution

The fourth proportional to 22.74, 31.15 and 22.50 is: 30.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.74 : 31.15 = 22.50 : x
  2. Step 2: Convert to fraction form
    22.74/31.15 = 22.50/x
  3. Step 3: Cross multiply
    22.74x = 31.15 × 22.50
  4. Step 4: Simplify right side
    22.74x = 700.88
  5. Step 5: Solve for x
    x = 700.88/22.74
  6. Step 6: Final answer
    x = 30.82

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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.