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Finding the Fourth Proportional to 29.68, 40.73 and 29.34

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Solution

The fourth proportional to 29.68, 40.73 and 29.34 is: 40.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.68 : 40.73 = 29.34 : x
  2. Step 2: Convert to fraction form
    29.68/40.73 = 29.34/x
  3. Step 3: Cross multiply
    29.68x = 40.73 × 29.34
  4. Step 4: Simplify right side
    29.68x = 1,194.87
  5. Step 5: Solve for x
    x = 1,194.87/29.68
  6. Step 6: Final answer
    x = 40.26

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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.