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Finding the Fourth Proportional to 354.20, 528.73 and 311

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Solution

The fourth proportional to 354.20, 528.73 and 311 is: 464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.20 : 528.73 = 311 : x
  2. Step 2: Convert to fraction form
    354.20/528.73 = 311/x
  3. Step 3: Cross multiply
    354.20x = 528.73 × 311
  4. Step 4: Simplify right side
    354.20x = 164,435.03
  5. Step 5: Solve for x
    x = 164,435.03/354.20
  6. Step 6: Final answer
    x = 464.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.