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Finding the Fourth Proportional to 113.15, 155.09 and 109.05

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Solution

The fourth proportional to 113.15, 155.09 and 109.05 is: 149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.15 : 155.09 = 109.05 : x
  2. Step 2: Convert to fraction form
    113.15/155.09 = 109.05/x
  3. Step 3: Cross multiply
    113.15x = 155.09 × 109.05
  4. Step 4: Simplify right side
    113.15x = 16,911.79
  5. Step 5: Solve for x
    x = 16,911.79/113.15
  6. Step 6: Final answer
    x = 149.46

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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.