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Finding the Fourth Proportional to 150, 223.64 and 140.82

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Solution

The fourth proportional to 150, 223.64 and 140.82 is: 209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150 : 223.64 = 140.82 : x
  2. Step 2: Convert to fraction form
    150/223.64 = 140.82/x
  3. Step 3: Cross multiply
    150x = 223.64 × 140.82
  4. Step 4: Simplify right side
    150x = 31,492.28
  5. Step 5: Solve for x
    x = 31,492.28/150
  6. Step 6: Final answer
    x = 209.95

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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.