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Finding the Fourth Proportional to 262.99, 391.28 and 256.24

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Solution

The fourth proportional to 262.99, 391.28 and 256.24 is: 381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.99 : 391.28 = 256.24 : x
  2. Step 2: Convert to fraction form
    262.99/391.28 = 256.24/x
  3. Step 3: Cross multiply
    262.99x = 391.28 × 256.24
  4. Step 4: Simplify right side
    262.99x = 100,261.59
  5. Step 5: Solve for x
    x = 100,261.59/262.99
  6. Step 6: Final answer
    x = 381.24

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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.