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Finding the Fourth Proportional to 233.21, 347.28 and 230.65

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Solution

The fourth proportional to 233.21, 347.28 and 230.65 is: 343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.21 : 347.28 = 230.65 : x
  2. Step 2: Convert to fraction form
    233.21/347.28 = 230.65/x
  3. Step 3: Cross multiply
    233.21x = 347.28 × 230.65
  4. Step 4: Simplify right side
    233.21x = 80,100.13
  5. Step 5: Solve for x
    x = 80,100.13/233.21
  6. Step 6: Final answer
    x = 343.47

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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.