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Finding the Fourth Proportional to 72.70, 109.25 and 36.65

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Solution

The fourth proportional to 72.70, 109.25 and 36.65 is: 55.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.70 : 109.25 = 36.65 : x
  2. Step 2: Convert to fraction form
    72.70/109.25 = 36.65/x
  3. Step 3: Cross multiply
    72.70x = 109.25 × 36.65
  4. Step 4: Simplify right side
    72.70x = 4,004.24
  5. Step 5: Solve for x
    x = 4,004.24/72.70
  6. Step 6: Final answer
    x = 55.08

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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.