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Finding the Fourth Proportional to 143.22, 216.12 and 138.13

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Solution

The fourth proportional to 143.22, 216.12 and 138.13 is: 208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.22 : 216.12 = 138.13 : x
  2. Step 2: Convert to fraction form
    143.22/216.12 = 138.13/x
  3. Step 3: Cross multiply
    143.22x = 216.12 × 138.13
  4. Step 4: Simplify right side
    143.22x = 29,852.66
  5. Step 5: Solve for x
    x = 29,852.66/143.22
  6. Step 6: Final answer
    x = 208.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.