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Finding the Fourth Proportional to 109.45, 162.84 and 102.97

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Solution

The fourth proportional to 109.45, 162.84 and 102.97 is: 153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.45 : 162.84 = 102.97 : x
  2. Step 2: Convert to fraction form
    109.45/162.84 = 102.97/x
  3. Step 3: Cross multiply
    109.45x = 162.84 × 102.97
  4. Step 4: Simplify right side
    109.45x = 16,767.36
  5. Step 5: Solve for x
    x = 16,767.36/109.45
  6. Step 6: Final answer
    x = 153.19

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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.