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Finding the Fourth Proportional to 143.46, 216.36 and 138.60

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Solution

The fourth proportional to 143.46, 216.36 and 138.60 is: 209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.46 : 216.36 = 138.60 : x
  2. Step 2: Convert to fraction form
    143.46/216.36 = 138.60/x
  3. Step 3: Cross multiply
    143.46x = 216.36 × 138.60
  4. Step 4: Simplify right side
    143.46x = 29,987.50
  5. Step 5: Solve for x
    x = 29,987.50/143.46
  6. Step 6: Final answer
    x = 209.03

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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.