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Finding the Fourth Proportional to 256.69, 353.86 and 219.43

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Solution

The fourth proportional to 256.69, 353.86 and 219.43 is: 302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.69 : 353.86 = 219.43 : x
  2. Step 2: Convert to fraction form
    256.69/353.86 = 219.43/x
  3. Step 3: Cross multiply
    256.69x = 353.86 × 219.43
  4. Step 4: Simplify right side
    256.69x = 77,647.50
  5. Step 5: Solve for x
    x = 77,647.50/256.69
  6. Step 6: Final answer
    x = 302.50

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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.