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Finding the Fourth Proportional to 354.49, 489.23 and 207.17

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Solution

The fourth proportional to 354.49, 489.23 and 207.17 is: 285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.49 : 489.23 = 207.17 : x
  2. Step 2: Convert to fraction form
    354.49/489.23 = 207.17/x
  3. Step 3: Cross multiply
    354.49x = 489.23 × 207.17
  4. Step 4: Simplify right side
    354.49x = 101,352.91
  5. Step 5: Solve for x
    x = 101,352.91/354.49
  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.