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Finding the Fourth Proportional to 262.35, 391.58 and 231.60

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Solution

The fourth proportional to 262.35, 391.58 and 231.60 is: 345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.35 : 391.58 = 231.60 : x
  2. Step 2: Convert to fraction form
    262.35/391.58 = 231.60/x
  3. Step 3: Cross multiply
    262.35x = 391.58 × 231.60
  4. Step 4: Simplify right side
    262.35x = 90,689.93
  5. Step 5: Solve for x
    x = 90,689.93/262.35
  6. Step 6: Final answer
    x = 345.68

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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.