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Finding the Fourth Proportional to 152.45, 227.30 and 149.71

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Solution

The fourth proportional to 152.45, 227.30 and 149.71 is: 223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.45 : 227.30 = 149.71 : x
  2. Step 2: Convert to fraction form
    152.45/227.30 = 149.71/x
  3. Step 3: Cross multiply
    152.45x = 227.30 × 149.71
  4. Step 4: Simplify right side
    152.45x = 34,029.08
  5. Step 5: Solve for x
    x = 34,029.08/152.45
  6. Step 6: Final answer
    x = 223.21

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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.