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Finding the Fourth Proportional to 354.32, 489.26 and 243.76

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Solution

The fourth proportional to 354.32, 489.26 and 243.76 is: 336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.32 : 489.26 = 243.76 : x
  2. Step 2: Convert to fraction form
    354.32/489.26 = 243.76/x
  3. Step 3: Cross multiply
    354.32x = 489.26 × 243.76
  4. Step 4: Simplify right side
    354.32x = 119,262.02
  5. Step 5: Solve for x
    x = 119,262.02/354.32
  6. Step 6: Final answer
    x = 336.59

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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.