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Finding the Fourth Proportional to 233.59, 320.42 and 231.55

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Solution

The fourth proportional to 233.59, 320.42 and 231.55 is: 317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.59 : 320.42 = 231.55 : x
  2. Step 2: Convert to fraction form
    233.59/320.42 = 231.55/x
  3. Step 3: Cross multiply
    233.59x = 320.42 × 231.55
  4. Step 4: Simplify right side
    233.59x = 74,193.25
  5. Step 5: Solve for x
    x = 74,193.25/233.59
  6. Step 6: Final answer
    x = 317.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.