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Finding the Fourth Proportional to 72.83, 108.65 and 71.28

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Solution

The fourth proportional to 72.83, 108.65 and 71.28 is: 106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.83 : 108.65 = 71.28 : x
  2. Step 2: Convert to fraction form
    72.83/108.65 = 71.28/x
  3. Step 3: Cross multiply
    72.83x = 108.65 × 71.28
  4. Step 4: Simplify right side
    72.83x = 7,744.75
  5. Step 5: Solve for x
    x = 7,744.75/72.83
  6. Step 6: Final answer
    x = 106.34

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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.