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Finding the Fourth Proportional to 29.21, 40.36 and 23.12

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Solution

The fourth proportional to 29.21, 40.36 and 23.12 is: 31.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.21 : 40.36 = 23.12 : x
  2. Step 2: Convert to fraction form
    29.21/40.36 = 23.12/x
  3. Step 3: Cross multiply
    29.21x = 40.36 × 23.12
  4. Step 4: Simplify right side
    29.21x = 933.01
  5. Step 5: Solve for x
    x = 933.01/29.21
  6. Step 6: Final answer
    x = 31.94

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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.