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Finding the Fourth Proportional to 384.19, 571.91 and 382.12

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Solution

The fourth proportional to 384.19, 571.91 and 382.12 is: 568.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.19 : 571.91 = 382.12 : x
  2. Step 2: Convert to fraction form
    384.19/571.91 = 382.12/x
  3. Step 3: Cross multiply
    384.19x = 571.91 × 382.12
  4. Step 4: Simplify right side
    384.19x = 218,537.06
  5. Step 5: Solve for x
    x = 218,537.06/384.19
  6. Step 6: Final answer
    x = 568.82

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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.