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Finding the Fourth Proportional to 256.08, 381.66 and 207.12

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Solution

The fourth proportional to 256.08, 381.66 and 207.12 is: 308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.08 : 381.66 = 207.12 : x
  2. Step 2: Convert to fraction form
    256.08/381.66 = 207.12/x
  3. Step 3: Cross multiply
    256.08x = 381.66 × 207.12
  4. Step 4: Simplify right side
    256.08x = 79,049.42
  5. Step 5: Solve for x
    x = 79,049.42/256.08
  6. Step 6: Final answer
    x = 308.69

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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.