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Finding the Fourth Proportional to 29.68, 40.97 and 26.60

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Solution

The fourth proportional to 29.68, 40.97 and 26.60 is: 36.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.68 : 40.97 = 26.60 : x
  2. Step 2: Convert to fraction form
    29.68/40.97 = 26.60/x
  3. Step 3: Cross multiply
    29.68x = 40.97 × 26.60
  4. Step 4: Simplify right side
    29.68x = 1,089.90
  5. Step 5: Solve for x
    x = 1,089.90/29.68
  6. Step 6: Final answer
    x = 36.72

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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.