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Finding the Fourth Proportional to 382.33, 573.14 and 208.74

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Solution

The fourth proportional to 382.33, 573.14 and 208.74 is: 312.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.33 : 573.14 = 208.74 : x
  2. Step 2: Convert to fraction form
    382.33/573.14 = 208.74/x
  3. Step 3: Cross multiply
    382.33x = 573.14 × 208.74
  4. Step 4: Simplify right side
    382.33x = 119,637.24
  5. Step 5: Solve for x
    x = 119,637.24/382.33
  6. Step 6: Final answer
    x = 312.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.