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Finding the Fourth Proportional to 153.92, 229.39 and 152.64

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Solution

The fourth proportional to 153.92, 229.39 and 152.64 is: 227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.92 : 229.39 = 152.64 : x
  2. Step 2: Convert to fraction form
    153.92/229.39 = 152.64/x
  3. Step 3: Cross multiply
    153.92x = 229.39 × 152.64
  4. Step 4: Simplify right side
    153.92x = 35,014.09
  5. Step 5: Solve for x
    x = 35,014.09/153.92
  6. Step 6: Final answer
    x = 227.48

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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.