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Finding the Fourth Proportional to 298.96, 445.10 and 297.52

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Solution

The fourth proportional to 298.96, 445.10 and 297.52 is: 442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.96 : 445.10 = 297.52 : x
  2. Step 2: Convert to fraction form
    298.96/445.10 = 297.52/x
  3. Step 3: Cross multiply
    298.96x = 445.10 × 297.52
  4. Step 4: Simplify right side
    298.96x = 132,426.15
  5. Step 5: Solve for x
    x = 132,426.15/298.96
  6. Step 6: Final answer
    x = 442.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.