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Finding the Fourth Proportional to 382.14, 572.80 and 290.61

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Solution

The fourth proportional to 382.14, 572.80 and 290.61 is: 435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.14 : 572.80 = 290.61 : x
  2. Step 2: Convert to fraction form
    382.14/572.80 = 290.61/x
  3. Step 3: Cross multiply
    382.14x = 572.80 × 290.61
  4. Step 4: Simplify right side
    382.14x = 166,461.41
  5. Step 5: Solve for x
    x = 166,461.41/382.14
  6. Step 6: Final answer
    x = 435.60

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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.