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Finding the Fourth Proportional to 233.64, 347.57 and 231.32

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Solution

The fourth proportional to 233.64, 347.57 and 231.32 is: 344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 347.57 = 231.32 : x
  2. Step 2: Convert to fraction form
    233.64/347.57 = 231.32/x
  3. Step 3: Cross multiply
    233.64x = 347.57 × 231.32
  4. Step 4: Simplify right side
    233.64x = 80,399.89
  5. Step 5: Solve for x
    x = 80,399.89/233.64
  6. Step 6: Final answer
    x = 344.12

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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.