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Finding the Fourth Proportional to 150.22, 223.81 and 140.91

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Solution

The fourth proportional to 150.22, 223.81 and 140.91 is: 209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.22 : 223.81 = 140.91 : x
  2. Step 2: Convert to fraction form
    150.22/223.81 = 140.91/x
  3. Step 3: Cross multiply
    150.22x = 223.81 × 140.91
  4. Step 4: Simplify right side
    150.22x = 31,536.67
  5. Step 5: Solve for x
    x = 31,536.67/150.22
  6. Step 6: Final answer
    x = 209.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.