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Finding the Fourth Proportional to 113.08, 154.76 and 109.96

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Solution

The fourth proportional to 113.08, 154.76 and 109.96 is: 150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.08 : 154.76 = 109.96 : x
  2. Step 2: Convert to fraction form
    113.08/154.76 = 109.96/x
  3. Step 3: Cross multiply
    113.08x = 154.76 × 109.96
  4. Step 4: Simplify right side
    113.08x = 17,017.41
  5. Step 5: Solve for x
    x = 17,017.41/113.08
  6. Step 6: Final answer
    x = 150.49

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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.