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Finding the Fourth Proportional to 351.66, 527.84 and 268.62

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Solution

The fourth proportional to 351.66, 527.84 and 268.62 is: 403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.66 : 527.84 = 268.62 : x
  2. Step 2: Convert to fraction form
    351.66/527.84 = 268.62/x
  3. Step 3: Cross multiply
    351.66x = 527.84 × 268.62
  4. Step 4: Simplify right side
    351.66x = 141,788.38
  5. Step 5: Solve for x
    x = 141,788.38/351.66
  6. Step 6: Final answer
    x = 403.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.