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Finding the Fourth Proportional to 29.68, 40.84 and 23.20

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Solution

The fourth proportional to 29.68, 40.84 and 23.20 is: 31.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.68 : 40.84 = 23.20 : x
  2. Step 2: Convert to fraction form
    29.68/40.84 = 23.20/x
  3. Step 3: Cross multiply
    29.68x = 40.84 × 23.20
  4. Step 4: Simplify right side
    29.68x = 947.49
  5. Step 5: Solve for x
    x = 947.49/29.68
  6. Step 6: Final answer
    x = 31.92

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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.