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Finding the Fourth Proportional to 256.26, 381.77 and 247.56

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Solution

The fourth proportional to 256.26, 381.77 and 247.56 is: 368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.26 : 381.77 = 247.56 : x
  2. Step 2: Convert to fraction form
    256.26/381.77 = 247.56/x
  3. Step 3: Cross multiply
    256.26x = 381.77 × 247.56
  4. Step 4: Simplify right side
    256.26x = 94,510.98
  5. Step 5: Solve for x
    x = 94,510.98/256.26
  6. Step 6: Final answer
    x = 368.81

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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.