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Finding the Fourth Proportional to 143.80, 214.19 and 142.00

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Solution

The fourth proportional to 143.80, 214.19 and 142.00 is: 211.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.80 : 214.19 = 142.00 : x
  2. Step 2: Convert to fraction form
    143.80/214.19 = 142.00/x
  3. Step 3: Cross multiply
    143.80x = 214.19 × 142.00
  4. Step 4: Simplify right side
    143.80x = 30,416.27
  5. Step 5: Solve for x
    x = 30,416.27/143.80
  6. Step 6: Final answer
    x = 211.52

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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.