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Finding the Fourth Proportional to 382.32, 569.19 and 377.80

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Solution

The fourth proportional to 382.32, 569.19 and 377.80 is: 562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.32 : 569.19 = 377.80 : x
  2. Step 2: Convert to fraction form
    382.32/569.19 = 377.80/x
  3. Step 3: Cross multiply
    382.32x = 569.19 × 377.80
  4. Step 4: Simplify right side
    382.32x = 215,039.98
  5. Step 5: Solve for x
    x = 215,039.98/382.32
  6. Step 6: Final answer
    x = 562.46

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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.