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Finding the Fourth Proportional to 297.30, 445.98 and 152.96

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Solution

The fourth proportional to 297.30, 445.98 and 152.96 is: 229.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.30 : 445.98 = 152.96 : x
  2. Step 2: Convert to fraction form
    297.30/445.98 = 152.96/x
  3. Step 3: Cross multiply
    297.30x = 445.98 × 152.96
  4. Step 4: Simplify right side
    297.30x = 68,217.10
  5. Step 5: Solve for x
    x = 68,217.10/297.30
  6. Step 6: Final answer
    x = 229.46

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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.