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Finding the Fourth Proportional to 351.52, 485.40 and 278.24

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Solution

The fourth proportional to 351.52, 485.40 and 278.24 is: 384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.52 : 485.40 = 278.24 : x
  2. Step 2: Convert to fraction form
    351.52/485.40 = 278.24/x
  3. Step 3: Cross multiply
    351.52x = 485.40 × 278.24
  4. Step 4: Simplify right side
    351.52x = 135,057.70
  5. Step 5: Solve for x
    x = 135,057.70/351.52
  6. Step 6: Final answer
    x = 384.21

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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.