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Finding the Fourth Proportional to 255.66, 381.38 and 246.48

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Solution

The fourth proportional to 255.66, 381.38 and 246.48 is: 367.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.66 : 381.38 = 246.48 : x
  2. Step 2: Convert to fraction form
    255.66/381.38 = 246.48/x
  3. Step 3: Cross multiply
    255.66x = 381.38 × 246.48
  4. Step 4: Simplify right side
    255.66x = 94,001.31
  5. Step 5: Solve for x
    x = 94,001.31/255.66
  6. Step 6: Final answer
    x = 367.68

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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.