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Finding the Fourth Proportional to 222.53, 332.36 and 189.87

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Solution

The fourth proportional to 222.53, 332.36 and 189.87 is: 283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.53 : 332.36 = 189.87 : x
  2. Step 2: Convert to fraction form
    222.53/332.36 = 189.87/x
  3. Step 3: Cross multiply
    222.53x = 332.36 × 189.87
  4. Step 4: Simplify right side
    222.53x = 63,104.24
  5. Step 5: Solve for x
    x = 63,104.24/222.53
  6. Step 6: Final answer
    x = 283.58

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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.