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Finding the Fourth Proportional to 233.60, 347.93 and 231.08

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Solution

The fourth proportional to 233.60, 347.93 and 231.08 is: 344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.60 : 347.93 = 231.08 : x
  2. Step 2: Convert to fraction form
    233.60/347.93 = 231.08/x
  3. Step 3: Cross multiply
    233.60x = 347.93 × 231.08
  4. Step 4: Simplify right side
    233.60x = 80,399.66
  5. Step 5: Solve for x
    x = 80,399.66/233.60
  6. Step 6: Final answer
    x = 344.18

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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.