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Finding the Fourth Proportional to 72.35, 108.65 and 64.83

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Solution

The fourth proportional to 72.35, 108.65 and 64.83 is: 97.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.35 : 108.65 = 64.83 : x
  2. Step 2: Convert to fraction form
    72.35/108.65 = 64.83/x
  3. Step 3: Cross multiply
    72.35x = 108.65 × 64.83
  4. Step 4: Simplify right side
    72.35x = 7,043.46
  5. Step 5: Solve for x
    x = 7,043.46/72.35
  6. Step 6: Final answer
    x = 97.36

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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.