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Finding the Fourth Proportional to 229.42, 345.89 and 213.76

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Solution

The fourth proportional to 229.42, 345.89 and 213.76 is: 322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.42 : 345.89 = 213.76 : x
  2. Step 2: Convert to fraction form
    229.42/345.89 = 213.76/x
  3. Step 3: Cross multiply
    229.42x = 345.89 × 213.76
  4. Step 4: Simplify right side
    229.42x = 73,937.45
  5. Step 5: Solve for x
    x = 73,937.45/229.42
  6. Step 6: Final answer
    x = 322.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.