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Finding the Fourth Proportional to 349.76, 527.26 and 326.28

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Solution

The fourth proportional to 349.76, 527.26 and 326.28 is: 491.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.76 : 527.26 = 326.28 : x
  2. Step 2: Convert to fraction form
    349.76/527.26 = 326.28/x
  3. Step 3: Cross multiply
    349.76x = 527.26 × 326.28
  4. Step 4: Simplify right side
    349.76x = 172,034.39
  5. Step 5: Solve for x
    x = 172,034.39/349.76
  6. Step 6: Final answer
    x = 491.86

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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.