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Finding the Fourth Proportional to 113.96, 155.16 and 113.60

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Solution

The fourth proportional to 113.96, 155.16 and 113.60 is: 154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.96 : 155.16 = 113.60 : x
  2. Step 2: Convert to fraction form
    113.96/155.16 = 113.60/x
  3. Step 3: Cross multiply
    113.96x = 155.16 × 113.60
  4. Step 4: Simplify right side
    113.96x = 17,626.18
  5. Step 5: Solve for x
    x = 17,626.18/113.96
  6. Step 6: Final answer
    x = 154.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.