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Finding the Fourth Proportional to 381.50, 569.03 and 369.96

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Solution

The fourth proportional to 381.50, 569.03 and 369.96 is: 551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.50 : 569.03 = 369.96 : x
  2. Step 2: Convert to fraction form
    381.50/569.03 = 369.96/x
  3. Step 3: Cross multiply
    381.50x = 569.03 × 369.96
  4. Step 4: Simplify right side
    381.50x = 210,518.88
  5. Step 5: Solve for x
    x = 210,518.88/381.50
  6. Step 6: Final answer
    x = 551.82

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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.