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Finding the Fourth Proportional to 143.11, 214.57 and 51.81

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Solution

The fourth proportional to 143.11, 214.57 and 51.81 is: 77.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.11 : 214.57 = 51.81 : x
  2. Step 2: Convert to fraction form
    143.11/214.57 = 51.81/x
  3. Step 3: Cross multiply
    143.11x = 214.57 × 51.81
  4. Step 4: Simplify right side
    143.11x = 11,116.87
  5. Step 5: Solve for x
    x = 11,116.87/143.11
  6. Step 6: Final answer
    x = 77.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.