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Finding the Fourth Proportional to 109.23, 163.86 and 37.10

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Solution

The fourth proportional to 109.23, 163.86 and 37.10 is: 55.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.23 : 163.86 = 37.10 : x
  2. Step 2: Convert to fraction form
    109.23/163.86 = 37.10/x
  3. Step 3: Cross multiply
    109.23x = 163.86 × 37.10
  4. Step 4: Simplify right side
    109.23x = 6,079.21
  5. Step 5: Solve for x
    x = 6,079.21/109.23
  6. Step 6: Final answer
    x = 55.66

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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.