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Finding the Fourth Proportional to 152.96, 227.76 and 150.78

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Solution

The fourth proportional to 152.96, 227.76 and 150.78 is: 224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.96 : 227.76 = 150.78 : x
  2. Step 2: Convert to fraction form
    152.96/227.76 = 150.78/x
  3. Step 3: Cross multiply
    152.96x = 227.76 × 150.78
  4. Step 4: Simplify right side
    152.96x = 34,341.65
  5. Step 5: Solve for x
    x = 34,341.65/152.96
  6. Step 6: Final answer
    x = 224.51

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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.