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Finding the Fourth Proportional to 143.42, 213.75 and 143.19

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Solution

The fourth proportional to 143.42, 213.75 and 143.19 is: 213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.42 : 213.75 = 143.19 : x
  2. Step 2: Convert to fraction form
    143.42/213.75 = 143.19/x
  3. Step 3: Cross multiply
    143.42x = 213.75 × 143.19
  4. Step 4: Simplify right side
    143.42x = 30,607.67
  5. Step 5: Solve for x
    x = 30,607.67/143.42
  6. Step 6: Final answer
    x = 213.41

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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.