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Finding the Fourth Proportional to 256.13, 381.59 and 247.43

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Solution

The fourth proportional to 256.13, 381.59 and 247.43 is: 368.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.13 : 381.59 = 247.43 : x
  2. Step 2: Convert to fraction form
    256.13/381.59 = 247.43/x
  3. Step 3: Cross multiply
    256.13x = 381.59 × 247.43
  4. Step 4: Simplify right side
    256.13x = 94,415.58
  5. Step 5: Solve for x
    x = 94,415.58/256.13
  6. Step 6: Final answer
    x = 368.62

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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.