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Finding the Fourth Proportional to 382.46, 570.00 and 381.85

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Solution

The fourth proportional to 382.46, 570.00 and 381.85 is: 569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.46 : 570.00 = 381.85 : x
  2. Step 2: Convert to fraction form
    382.46/570.00 = 381.85/x
  3. Step 3: Cross multiply
    382.46x = 570.00 × 381.85
  4. Step 4: Simplify right side
    382.46x = 217,654.51
  5. Step 5: Solve for x
    x = 217,654.51/382.46
  6. Step 6: Final answer
    x = 569.10

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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.