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Finding the Fourth Proportional to 152.27, 227.23 and 134.96

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Solution

The fourth proportional to 152.27, 227.23 and 134.96 is: 201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.27 : 227.23 = 134.96 : x
  2. Step 2: Convert to fraction form
    152.27/227.23 = 134.96/x
  3. Step 3: Cross multiply
    152.27x = 227.23 × 134.96
  4. Step 4: Simplify right side
    152.27x = 30,666.96
  5. Step 5: Solve for x
    x = 30,666.96/152.27
  6. Step 6: Final answer
    x = 201.40

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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.