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Finding the Fourth Proportional to 298.86, 445.97 and 296.27

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Solution

The fourth proportional to 298.86, 445.97 and 296.27 is: 442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.86 : 445.97 = 296.27 : x
  2. Step 2: Convert to fraction form
    298.86/445.97 = 296.27/x
  3. Step 3: Cross multiply
    298.86x = 445.97 × 296.27
  4. Step 4: Simplify right side
    298.86x = 132,130.22
  5. Step 5: Solve for x
    x = 132,130.22/298.86
  6. Step 6: Final answer
    x = 442.12

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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.