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Finding the Fourth Proportional to 24.00, 32.94 and 20.35

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Solution

The fourth proportional to 24.00, 32.94 and 20.35 is: 27.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.00 : 32.94 = 20.35 : x
  2. Step 2: Convert to fraction form
    24.00/32.94 = 20.35/x
  3. Step 3: Cross multiply
    24.00x = 32.94 × 20.35
  4. Step 4: Simplify right side
    24.00x = 670.37
  5. Step 5: Solve for x
    x = 670.37/24.00
  6. Step 6: Final answer
    x = 27.94

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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.