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Finding the Fourth Proportional to 233.90, 349.38 and 232.82

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Solution

The fourth proportional to 233.90, 349.38 and 232.82 is: 347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.90 : 349.38 = 232.82 : x
  2. Step 2: Convert to fraction form
    233.90/349.38 = 232.82/x
  3. Step 3: Cross multiply
    233.90x = 349.38 × 232.82
  4. Step 4: Simplify right side
    233.90x = 81,342.65
  5. Step 5: Solve for x
    x = 81,342.65/233.90
  6. Step 6: Final answer
    x = 347.77

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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.