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Finding the Fourth Proportional to 109.16, 162.65 and 105.24

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Solution

The fourth proportional to 109.16, 162.65 and 105.24 is: 156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.16 : 162.65 = 105.24 : x
  2. Step 2: Convert to fraction form
    109.16/162.65 = 105.24/x
  3. Step 3: Cross multiply
    109.16x = 162.65 × 105.24
  4. Step 4: Simplify right side
    109.16x = 17,116.76
  5. Step 5: Solve for x
    x = 17,116.76/109.16
  6. Step 6: Final answer
    x = 156.81

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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.