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Finding the Fourth Proportional to 354.17, 533.32 and 315.97

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Solution

The fourth proportional to 354.17, 533.32 and 315.97 is: 475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.17 : 533.32 = 315.97 : x
  2. Step 2: Convert to fraction form
    354.17/533.32 = 315.97/x
  3. Step 3: Cross multiply
    354.17x = 533.32 × 315.97
  4. Step 4: Simplify right side
    354.17x = 168,511.00
  5. Step 5: Solve for x
    x = 168,511.00/354.17
  6. Step 6: Final answer
    x = 475.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.