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Finding the Fourth Proportional to 256.77, 353.84 and 217.89

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Solution

The fourth proportional to 256.77, 353.84 and 217.89 is: 300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.77 : 353.84 = 217.89 : x
  2. Step 2: Convert to fraction form
    256.77/353.84 = 217.89/x
  3. Step 3: Cross multiply
    256.77x = 353.84 × 217.89
  4. Step 4: Simplify right side
    256.77x = 77,097.11
  5. Step 5: Solve for x
    x = 77,097.11/256.77
  6. Step 6: Final answer
    x = 300.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.