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Finding the Fourth Proportional to 72.29, 107.80 and 69.47

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Solution

The fourth proportional to 72.29, 107.80 and 69.47 is: 103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.29 : 107.80 = 69.47 : x
  2. Step 2: Convert to fraction form
    72.29/107.80 = 69.47/x
  3. Step 3: Cross multiply
    72.29x = 107.80 × 69.47
  4. Step 4: Simplify right side
    72.29x = 7,488.87
  5. Step 5: Solve for x
    x = 7,488.87/72.29
  6. Step 6: Final answer
    x = 103.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.