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Finding the Fourth Proportional to 229.74, 342.89 and 222.56

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Solution

The fourth proportional to 229.74, 342.89 and 222.56 is: 332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.74 : 342.89 = 222.56 : x
  2. Step 2: Convert to fraction form
    229.74/342.89 = 222.56/x
  3. Step 3: Cross multiply
    229.74x = 342.89 × 222.56
  4. Step 4: Simplify right side
    229.74x = 76,312.89
  5. Step 5: Solve for x
    x = 76,312.89/229.74
  6. Step 6: Final answer
    x = 332.18

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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.