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Finding the Fourth Proportional to 229.79, 342.17 and 223.98

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Solution

The fourth proportional to 229.79, 342.17 and 223.98 is: 333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.79 : 342.17 = 223.98 : x
  2. Step 2: Convert to fraction form
    229.79/342.17 = 223.98/x
  3. Step 3: Cross multiply
    229.79x = 342.17 × 223.98
  4. Step 4: Simplify right side
    229.79x = 76,638.12
  5. Step 5: Solve for x
    x = 76,638.12/229.79
  6. Step 6: Final answer
    x = 333.52

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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.