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Finding the Fourth Proportional to 354.68, 489.32 and 223.66

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Solution

The fourth proportional to 354.68, 489.32 and 223.66 is: 308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.68 : 489.32 = 223.66 : x
  2. Step 2: Convert to fraction form
    354.68/489.32 = 223.66/x
  3. Step 3: Cross multiply
    354.68x = 489.32 × 223.66
  4. Step 4: Simplify right side
    354.68x = 109,438.86
  5. Step 5: Solve for x
    x = 109,438.86/354.68
  6. Step 6: Final answer
    x = 308.56

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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.