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Finding the Fourth Proportional to 143.86, 215.76 and 41.12

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Solution

The fourth proportional to 143.86, 215.76 and 41.12 is: 61.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.86 : 215.76 = 41.12 : x
  2. Step 2: Convert to fraction form
    143.86/215.76 = 41.12/x
  3. Step 3: Cross multiply
    143.86x = 215.76 × 41.12
  4. Step 4: Simplify right side
    143.86x = 8,872.05
  5. Step 5: Solve for x
    x = 8,872.05/143.86
  6. Step 6: Final answer
    x = 61.67

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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.