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Finding the Fourth Proportional to 447.52, 617.80 and 281.82

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Solution

The fourth proportional to 447.52, 617.80 and 281.82 is: 389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.52 : 617.80 = 281.82 : x
  2. Step 2: Convert to fraction form
    447.52/617.80 = 281.82/x
  3. Step 3: Cross multiply
    447.52x = 617.80 × 281.82
  4. Step 4: Simplify right side
    447.52x = 174,108.40
  5. Step 5: Solve for x
    x = 174,108.40/447.52
  6. Step 6: Final answer
    x = 389.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.