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Finding the Fourth Proportional to 357.31, 493.06 and 207.96

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Solution

The fourth proportional to 357.31, 493.06 and 207.96 is: 286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.31 : 493.06 = 207.96 : x
  2. Step 2: Convert to fraction form
    357.31/493.06 = 207.96/x
  3. Step 3: Cross multiply
    357.31x = 493.06 × 207.96
  4. Step 4: Simplify right side
    357.31x = 102,535.44
  5. Step 5: Solve for x
    x = 102,535.44/357.31
  6. Step 6: Final answer
    x = 286.96

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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.