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Finding the Fourth Proportional to 381.90, 569.06 and 364.46

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Solution

The fourth proportional to 381.90, 569.06 and 364.46 is: 543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.90 : 569.06 = 364.46 : x
  2. Step 2: Convert to fraction form
    381.90/569.06 = 364.46/x
  3. Step 3: Cross multiply
    381.90x = 569.06 × 364.46
  4. Step 4: Simplify right side
    381.90x = 207,399.61
  5. Step 5: Solve for x
    x = 207,399.61/381.90
  6. Step 6: Final answer
    x = 543.07

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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.