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Finding the Fourth Proportional to 143.90, 216.26 and 111.50

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Solution

The fourth proportional to 143.90, 216.26 and 111.50 is: 167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.90 : 216.26 = 111.50 : x
  2. Step 2: Convert to fraction form
    143.90/216.26 = 111.50/x
  3. Step 3: Cross multiply
    143.90x = 216.26 × 111.50
  4. Step 4: Simplify right side
    143.90x = 24,112.43
  5. Step 5: Solve for x
    x = 24,112.43/143.90
  6. Step 6: Final answer
    x = 167.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.