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Finding the Fourth Proportional to 215.88, 322.22 and 188.67

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Solution

The fourth proportional to 215.88, 322.22 and 188.67 is: 281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.88 : 322.22 = 188.67 : x
  2. Step 2: Convert to fraction form
    215.88/322.22 = 188.67/x
  3. Step 3: Cross multiply
    215.88x = 322.22 × 188.67
  4. Step 4: Simplify right side
    215.88x = 60,794.93
  5. Step 5: Solve for x
    x = 60,794.93/215.88
  6. Step 6: Final answer
    x = 281.62

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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.