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Finding the Fourth Proportional to 34.19, 47.20 and 21.91

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Solution

The fourth proportional to 34.19, 47.20 and 21.91 is: 30.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.19 : 47.20 = 21.91 : x
  2. Step 2: Convert to fraction form
    34.19/47.20 = 21.91/x
  3. Step 3: Cross multiply
    34.19x = 47.20 × 21.91
  4. Step 4: Simplify right side
    34.19x = 1,034.16
  5. Step 5: Solve for x
    x = 1,034.16/34.19
  6. Step 6: Final answer
    x = 30.25

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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.