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Finding the Fourth Proportional to 229.17, 345.48 and 213.51

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Solution

The fourth proportional to 229.17, 345.48 and 213.51 is: 321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.17 : 345.48 = 213.51 : x
  2. Step 2: Convert to fraction form
    229.17/345.48 = 213.51/x
  3. Step 3: Cross multiply
    229.17x = 345.48 × 213.51
  4. Step 4: Simplify right side
    229.17x = 73,763.43
  5. Step 5: Solve for x
    x = 73,763.43/229.17
  6. Step 6: Final answer
    x = 321.87

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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.