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Finding the Fourth Proportional to 354.64, 489.31 and 207.22

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Solution

The fourth proportional to 354.64, 489.31 and 207.22 is: 285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.64 : 489.31 = 207.22 : x
  2. Step 2: Convert to fraction form
    354.64/489.31 = 207.22/x
  3. Step 3: Cross multiply
    354.64x = 489.31 × 207.22
  4. Step 4: Simplify right side
    354.64x = 101,394.82
  5. Step 5: Solve for x
    x = 101,394.82/354.64
  6. Step 6: Final answer
    x = 285.91

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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.