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Finding the Fourth Proportional to 143.90, 214.84 and 135.21

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Solution

The fourth proportional to 143.90, 214.84 and 135.21 is: 201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.90 : 214.84 = 135.21 : x
  2. Step 2: Convert to fraction form
    143.90/214.84 = 135.21/x
  3. Step 3: Cross multiply
    143.90x = 214.84 × 135.21
  4. Step 4: Simplify right side
    143.90x = 29,048.18
  5. Step 5: Solve for x
    x = 29,048.18/143.90
  6. Step 6: Final answer
    x = 201.86

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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.