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Finding the Fourth Proportional to 262.60, 391.79 and 253.15

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Solution

The fourth proportional to 262.60, 391.79 and 253.15 is: 377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.60 : 391.79 = 253.15 : x
  2. Step 2: Convert to fraction form
    262.60/391.79 = 253.15/x
  3. Step 3: Cross multiply
    262.60x = 391.79 × 253.15
  4. Step 4: Simplify right side
    262.60x = 99,180.97
  5. Step 5: Solve for x
    x = 99,180.97/262.60
  6. Step 6: Final answer
    x = 377.68

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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.