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Finding the Fourth Proportional to 229.23, 341.64 and 222.57

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Solution

The fourth proportional to 229.23, 341.64 and 222.57 is: 331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.23 : 341.64 = 222.57 : x
  2. Step 2: Convert to fraction form
    229.23/341.64 = 222.57/x
  3. Step 3: Cross multiply
    229.23x = 341.64 × 222.57
  4. Step 4: Simplify right side
    229.23x = 76,038.81
  5. Step 5: Solve for x
    x = 76,038.81/229.23
  6. Step 6: Final answer
    x = 331.71

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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.