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Finding the Fourth Proportional to 381.87, 573.75 and 244.98

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Solution

The fourth proportional to 381.87, 573.75 and 244.98 is: 368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.87 : 573.75 = 244.98 : x
  2. Step 2: Convert to fraction form
    381.87/573.75 = 244.98/x
  3. Step 3: Cross multiply
    381.87x = 573.75 × 244.98
  4. Step 4: Simplify right side
    381.87x = 140,557.28
  5. Step 5: Solve for x
    x = 140,557.28/381.87
  6. Step 6: Final answer
    x = 368.08

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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.