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Finding the Fourth Proportional to 109.30, 149.55 and 108.98

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Solution

The fourth proportional to 109.30, 149.55 and 108.98 is: 149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.30 : 149.55 = 108.98 : x
  2. Step 2: Convert to fraction form
    109.30/149.55 = 108.98/x
  3. Step 3: Cross multiply
    109.30x = 149.55 × 108.98
  4. Step 4: Simplify right side
    109.30x = 16,297.41
  5. Step 5: Solve for x
    x = 16,297.41/109.30
  6. Step 6: Final answer
    x = 149.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.