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Finding the Fourth Proportional to 109.49, 162.98 and 107.46

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Solution

The fourth proportional to 109.49, 162.98 and 107.46 is: 159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.49 : 162.98 = 107.46 : x
  2. Step 2: Convert to fraction form
    109.49/162.98 = 107.46/x
  3. Step 3: Cross multiply
    109.49x = 162.98 × 107.46
  4. Step 4: Simplify right side
    109.49x = 17,513.70
  5. Step 5: Solve for x
    x = 17,513.70/109.49
  6. Step 6: Final answer
    x = 159.96

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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.