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Finding the Fourth Proportional to 222.57, 307.17 and 170.19

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Solution

The fourth proportional to 222.57, 307.17 and 170.19 is: 234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.57 : 307.17 = 170.19 : x
  2. Step 2: Convert to fraction form
    222.57/307.17 = 170.19/x
  3. Step 3: Cross multiply
    222.57x = 307.17 × 170.19
  4. Step 4: Simplify right side
    222.57x = 52,277.26
  5. Step 5: Solve for x
    x = 52,277.26/222.57
  6. Step 6: Final answer
    x = 234.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.