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Finding the Fourth Proportional to 109.57, 164.14 and 98.77

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Solution

The fourth proportional to 109.57, 164.14 and 98.77 is: 147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.57 : 164.14 = 98.77 : x
  2. Step 2: Convert to fraction form
    109.57/164.14 = 98.77/x
  3. Step 3: Cross multiply
    109.57x = 164.14 × 98.77
  4. Step 4: Simplify right side
    109.57x = 16,211.45
  5. Step 5: Solve for x
    x = 16,211.45/109.57
  6. Step 6: Final answer
    x = 147.96

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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.