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Finding the Fourth Proportional to 233.67, 348.02 and 232.31

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Solution

The fourth proportional to 233.67, 348.02 and 232.31 is: 345.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.67 : 348.02 = 232.31 : x
  2. Step 2: Convert to fraction form
    233.67/348.02 = 232.31/x
  3. Step 3: Cross multiply
    233.67x = 348.02 × 232.31
  4. Step 4: Simplify right side
    233.67x = 80,848.53
  5. Step 5: Solve for x
    x = 80,848.53/233.67
  6. Step 6: Final answer
    x = 345.99

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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.