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Finding the Fourth Proportional to 297.03, 445.16 and 132.45

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Solution

The fourth proportional to 297.03, 445.16 and 132.45 is: 198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.03 : 445.16 = 132.45 : x
  2. Step 2: Convert to fraction form
    297.03/445.16 = 132.45/x
  3. Step 3: Cross multiply
    297.03x = 445.16 × 132.45
  4. Step 4: Simplify right side
    297.03x = 58,960.78
  5. Step 5: Solve for x
    x = 58,960.78/297.03
  6. Step 6: Final answer
    x = 198.50

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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.