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Finding the Fourth Proportional to 262.25, 391.36 and 256.08

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Solution

The fourth proportional to 262.25, 391.36 and 256.08 is: 382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.25 : 391.36 = 256.08 : x
  2. Step 2: Convert to fraction form
    262.25/391.36 = 256.08/x
  3. Step 3: Cross multiply
    262.25x = 391.36 × 256.08
  4. Step 4: Simplify right side
    262.25x = 100,218.83
  5. Step 5: Solve for x
    x = 100,218.83/262.25
  6. Step 6: Final answer
    x = 382.16

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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.