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Finding the Fourth Proportional to 225.62, 338.66 and 152.27

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Solution

The fourth proportional to 225.62, 338.66 and 152.27 is: 228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.62 : 338.66 = 152.27 : x
  2. Step 2: Convert to fraction form
    225.62/338.66 = 152.27/x
  3. Step 3: Cross multiply
    225.62x = 338.66 × 152.27
  4. Step 4: Simplify right side
    225.62x = 51,565.87
  5. Step 5: Solve for x
    x = 51,565.87/225.62
  6. Step 6: Final answer
    x = 228.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.