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Finding the Fourth Proportional to 382.77, 569.24 and 370.62

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Solution

The fourth proportional to 382.77, 569.24 and 370.62 is: 551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.77 : 569.24 = 370.62 : x
  2. Step 2: Convert to fraction form
    382.77/569.24 = 370.62/x
  3. Step 3: Cross multiply
    382.77x = 569.24 × 370.62
  4. Step 4: Simplify right side
    382.77x = 210,969.88
  5. Step 5: Solve for x
    x = 210,969.88/382.77
  6. Step 6: Final answer
    x = 551.17

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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.