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Finding the Fourth Proportional to 35.96, 49.57 and 22.13

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Solution

The fourth proportional to 35.96, 49.57 and 22.13 is: 30.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.96 : 49.57 = 22.13 : x
  2. Step 2: Convert to fraction form
    35.96/49.57 = 22.13/x
  3. Step 3: Cross multiply
    35.96x = 49.57 × 22.13
  4. Step 4: Simplify right side
    35.96x = 1,097.14
  5. Step 5: Solve for x
    x = 1,097.14/35.96
  6. Step 6: Final answer
    x = 30.51

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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.