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Finding the Fourth Proportional to 233.76, 347.97 and 230.30

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Solution

The fourth proportional to 233.76, 347.97 and 230.30 is: 342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.76 : 347.97 = 230.30 : x
  2. Step 2: Convert to fraction form
    233.76/347.97 = 230.30/x
  3. Step 3: Cross multiply
    233.76x = 347.97 × 230.30
  4. Step 4: Simplify right side
    233.76x = 80,137.49
  5. Step 5: Solve for x
    x = 80,137.49/233.76
  6. Step 6: Final answer
    x = 342.82

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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.