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Finding the Fourth Proportional to 229.70, 342.66 and 223.42

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Solution

The fourth proportional to 229.70, 342.66 and 223.42 is: 333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.70 : 342.66 = 223.42 : x
  2. Step 2: Convert to fraction form
    229.70/342.66 = 223.42/x
  3. Step 3: Cross multiply
    229.70x = 342.66 × 223.42
  4. Step 4: Simplify right side
    229.70x = 76,558.51
  5. Step 5: Solve for x
    x = 76,558.51/229.70
  6. Step 6: Final answer
    x = 333.30

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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.