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Finding the Fourth Proportional to 354.86, 489.56 and 207.43

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Solution

The fourth proportional to 354.86, 489.56 and 207.43 is: 286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.86 : 489.56 = 207.43 : x
  2. Step 2: Convert to fraction form
    354.86/489.56 = 207.43/x
  3. Step 3: Cross multiply
    354.86x = 489.56 × 207.43
  4. Step 4: Simplify right side
    354.86x = 101,549.53
  5. Step 5: Solve for x
    x = 101,549.53/354.86
  6. Step 6: Final answer
    x = 286.16

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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.