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Finding the Fourth Proportional to 297.98, 446.95 and 135.62

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Solution

The fourth proportional to 297.98, 446.95 and 135.62 is: 203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.98 : 446.95 = 135.62 : x
  2. Step 2: Convert to fraction form
    297.98/446.95 = 135.62/x
  3. Step 3: Cross multiply
    297.98x = 446.95 × 135.62
  4. Step 4: Simplify right side
    297.98x = 60,615.36
  5. Step 5: Solve for x
    x = 60,615.36/297.98
  6. Step 6: Final answer
    x = 203.42

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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.