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Finding the Fourth Proportional to 225.78, 340.01 and 191.67

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Solution

The fourth proportional to 225.78, 340.01 and 191.67 is: 288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.78 : 340.01 = 191.67 : x
  2. Step 2: Convert to fraction form
    225.78/340.01 = 191.67/x
  3. Step 3: Cross multiply
    225.78x = 340.01 × 191.67
  4. Step 4: Simplify right side
    225.78x = 65,168.76
  5. Step 5: Solve for x
    x = 65,168.76/225.78
  6. Step 6: Final answer
    x = 288.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.