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Finding the Fourth Proportional to 152.78, 227.89 and 143.21

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Solution

The fourth proportional to 152.78, 227.89 and 143.21 is: 213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.78 : 227.89 = 143.21 : x
  2. Step 2: Convert to fraction form
    152.78/227.89 = 143.21/x
  3. Step 3: Cross multiply
    152.78x = 227.89 × 143.21
  4. Step 4: Simplify right side
    152.78x = 32,636.02
  5. Step 5: Solve for x
    x = 32,636.02/152.78
  6. Step 6: Final answer
    x = 213.62

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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.