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Finding the Fourth Proportional to 152.57, 227.73 and 134.55

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Solution

The fourth proportional to 152.57, 227.73 and 134.55 is: 200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.57 : 227.73 = 134.55 : x
  2. Step 2: Convert to fraction form
    152.57/227.73 = 134.55/x
  3. Step 3: Cross multiply
    152.57x = 227.73 × 134.55
  4. Step 4: Simplify right side
    152.57x = 30,641.07
  5. Step 5: Solve for x
    x = 30,641.07/152.57
  6. Step 6: Final answer
    x = 200.84

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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.