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Finding the Fourth Proportional to 222, 332.98 and 91.87

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Solution

The fourth proportional to 222, 332.98 and 91.87 is: 137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222 : 332.98 = 91.87 : x
  2. Step 2: Convert to fraction form
    222/332.98 = 91.87/x
  3. Step 3: Cross multiply
    222x = 332.98 × 91.87
  4. Step 4: Simplify right side
    222x = 30,590.87
  5. Step 5: Solve for x
    x = 30,590.87/222
  6. Step 6: Final answer
    x = 137.80

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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.