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Finding the Fourth Proportional to 109.65, 163.32 and 109.16

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Solution

The fourth proportional to 109.65, 163.32 and 109.16 is: 162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.65 : 163.32 = 109.16 : x
  2. Step 2: Convert to fraction form
    109.65/163.32 = 109.16/x
  3. Step 3: Cross multiply
    109.65x = 163.32 × 109.16
  4. Step 4: Simplify right side
    109.65x = 17,827.19
  5. Step 5: Solve for x
    x = 17,827.19/109.65
  6. Step 6: Final answer
    x = 162.58

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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.