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Finding the Fourth Proportional to 229.31, 342.28 and 213.26

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Solution

The fourth proportional to 229.31, 342.28 and 213.26 is: 318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.31 : 342.28 = 213.26 : x
  2. Step 2: Convert to fraction form
    229.31/342.28 = 213.26/x
  3. Step 3: Cross multiply
    229.31x = 342.28 × 213.26
  4. Step 4: Simplify right side
    229.31x = 72,994.63
  5. Step 5: Solve for x
    x = 72,994.63/229.31
  6. Step 6: Final answer
    x = 318.32

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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.