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Finding the Fourth Proportional to 233.49, 320.09 and 229.39

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Solution

The fourth proportional to 233.49, 320.09 and 229.39 is: 314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.49 : 320.09 = 229.39 : x
  2. Step 2: Convert to fraction form
    233.49/320.09 = 229.39/x
  3. Step 3: Cross multiply
    233.49x = 320.09 × 229.39
  4. Step 4: Simplify right side
    233.49x = 73,425.45
  5. Step 5: Solve for x
    x = 73,425.45/233.49
  6. Step 6: Final answer
    x = 314.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.