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Finding the Fourth Proportional to 229.23, 315.60 and 213.74

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Solution

The fourth proportional to 229.23, 315.60 and 213.74 is: 294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.23 : 315.60 = 213.74 : x
  2. Step 2: Convert to fraction form
    229.23/315.60 = 213.74/x
  3. Step 3: Cross multiply
    229.23x = 315.60 × 213.74
  4. Step 4: Simplify right side
    229.23x = 67,455.15
  5. Step 5: Solve for x
    x = 67,455.15/229.23
  6. Step 6: Final answer
    x = 294.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.