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Finding the Fourth Proportional to 222.17, 332.51 and 193.37

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Solution

The fourth proportional to 222.17, 332.51 and 193.37 is: 289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.17 : 332.51 = 193.37 : x
  2. Step 2: Convert to fraction form
    222.17/332.51 = 193.37/x
  3. Step 3: Cross multiply
    222.17x = 332.51 × 193.37
  4. Step 4: Simplify right side
    222.17x = 64,294.83
  5. Step 5: Solve for x
    x = 64,294.83/222.17
  6. Step 6: Final answer
    x = 289.40

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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.