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Finding the Fourth Proportional to 351.84, 527.28 and 279.68

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Solution

The fourth proportional to 351.84, 527.28 and 279.68 is: 419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.84 : 527.28 = 279.68 : x
  2. Step 2: Convert to fraction form
    351.84/527.28 = 279.68/x
  3. Step 3: Cross multiply
    351.84x = 527.28 × 279.68
  4. Step 4: Simplify right side
    351.84x = 147,469.67
  5. Step 5: Solve for x
    x = 147,469.67/351.84
  6. Step 6: Final answer
    x = 419.14

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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.