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Finding the Fourth Proportional to 297.86, 445.00 and 287.63

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Solution

The fourth proportional to 297.86, 445.00 and 287.63 is: 429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.86 : 445.00 = 287.63 : x
  2. Step 2: Convert to fraction form
    297.86/445.00 = 287.63/x
  3. Step 3: Cross multiply
    297.86x = 445.00 × 287.63
  4. Step 4: Simplify right side
    297.86x = 127,992.41
  5. Step 5: Solve for x
    x = 127,992.41/297.86
  6. Step 6: Final answer
    x = 429.71

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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.