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Finding the Fourth Proportional to 229.32, 342.08 and 222.56

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Solution

The fourth proportional to 229.32, 342.08 and 222.56 is: 332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.32 : 342.08 = 222.56 : x
  2. Step 2: Convert to fraction form
    229.32/342.08 = 222.56/x
  3. Step 3: Cross multiply
    229.32x = 342.08 × 222.56
  4. Step 4: Simplify right side
    229.32x = 76,133.32
  5. Step 5: Solve for x
    x = 76,133.32/229.32
  6. Step 6: Final answer
    x = 332.00

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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.