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Finding the Fourth Proportional to 256.16, 381.72 and 247.91

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Solution

The fourth proportional to 256.16, 381.72 and 247.91 is: 369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.16 : 381.72 = 247.91 : x
  2. Step 2: Convert to fraction form
    256.16/381.72 = 247.91/x
  3. Step 3: Cross multiply
    256.16x = 381.72 × 247.91
  4. Step 4: Simplify right side
    256.16x = 94,630.30
  5. Step 5: Solve for x
    x = 94,630.30/256.16
  6. Step 6: Final answer
    x = 369.43

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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.