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Finding the Fourth Proportional to 351.09, 527.24 and 312.14

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Solution

The fourth proportional to 351.09, 527.24 and 312.14 is: 468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.09 : 527.24 = 312.14 : x
  2. Step 2: Convert to fraction form
    351.09/527.24 = 312.14/x
  3. Step 3: Cross multiply
    351.09x = 527.24 × 312.14
  4. Step 4: Simplify right side
    351.09x = 164,572.69
  5. Step 5: Solve for x
    x = 164,572.69/351.09
  6. Step 6: Final answer
    x = 468.75

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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.