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Finding the Fourth Proportional to 150.05, 206.88 and 111.17

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Solution

The fourth proportional to 150.05, 206.88 and 111.17 is: 153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.05 : 206.88 = 111.17 : x
  2. Step 2: Convert to fraction form
    150.05/206.88 = 111.17/x
  3. Step 3: Cross multiply
    150.05x = 206.88 × 111.17
  4. Step 4: Simplify right side
    150.05x = 22,998.85
  5. Step 5: Solve for x
    x = 22,998.85/150.05
  6. Step 6: Final answer
    x = 153.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.