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Finding the Fourth Proportional to 72.05, 108.06 and 26.39

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Solution

The fourth proportional to 72.05, 108.06 and 26.39 is: 39.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.05 : 108.06 = 26.39 : x
  2. Step 2: Convert to fraction form
    72.05/108.06 = 26.39/x
  3. Step 3: Cross multiply
    72.05x = 108.06 × 26.39
  4. Step 4: Simplify right side
    72.05x = 2,851.16
  5. Step 5: Solve for x
    x = 2,851.16/72.05
  6. Step 6: Final answer
    x = 39.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.