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Finding the Fourth Proportional to 298.13, 447.02 and 135.66

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Solution

The fourth proportional to 298.13, 447.02 and 135.66 is: 203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.13 : 447.02 = 135.66 : x
  2. Step 2: Convert to fraction form
    298.13/447.02 = 135.66/x
  3. Step 3: Cross multiply
    298.13x = 447.02 × 135.66
  4. Step 4: Simplify right side
    298.13x = 60,640.84
  5. Step 5: Solve for x
    x = 60,640.84/298.13
  6. Step 6: Final answer
    x = 203.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.