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Finding the Fourth Proportional to 116.03, 158.89 and 111.44

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Solution

The fourth proportional to 116.03, 158.89 and 111.44 is: 152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.03 : 158.89 = 111.44 : x
  2. Step 2: Convert to fraction form
    116.03/158.89 = 111.44/x
  3. Step 3: Cross multiply
    116.03x = 158.89 × 111.44
  4. Step 4: Simplify right side
    116.03x = 17,706.14
  5. Step 5: Solve for x
    x = 17,706.14/116.03
  6. Step 6: Final answer
    x = 152.60

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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.