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Finding the Fourth Proportional to 256.72, 387.54 and 255.28

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Solution

The fourth proportional to 256.72, 387.54 and 255.28 is: 385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.72 : 387.54 = 255.28 : x
  2. Step 2: Convert to fraction form
    256.72/387.54 = 255.28/x
  3. Step 3: Cross multiply
    256.72x = 387.54 × 255.28
  4. Step 4: Simplify right side
    256.72x = 98,931.21
  5. Step 5: Solve for x
    x = 98,931.21/256.72
  6. Step 6: Final answer
    x = 385.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.