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Finding the Fourth Proportional to 72.59, 108.81 and 26.91

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Solution

The fourth proportional to 72.59, 108.81 and 26.91 is: 40.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.59 : 108.81 = 26.91 : x
  2. Step 2: Convert to fraction form
    72.59/108.81 = 26.91/x
  3. Step 3: Cross multiply
    72.59x = 108.81 × 26.91
  4. Step 4: Simplify right side
    72.59x = 2,928.08
  5. Step 5: Solve for x
    x = 2,928.08/72.59
  6. Step 6: Final answer
    x = 40.34

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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.