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Finding the Fourth Proportional to 382.14, 572.79 and 351.39

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Solution

The fourth proportional to 382.14, 572.79 and 351.39 is: 526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.14 : 572.79 = 351.39 : x
  2. Step 2: Convert to fraction form
    382.14/572.79 = 351.39/x
  3. Step 3: Cross multiply
    382.14x = 572.79 × 351.39
  4. Step 4: Simplify right side
    382.14x = 201,268.06
  5. Step 5: Solve for x
    x = 201,268.06/382.14
  6. Step 6: Final answer
    x = 526.69

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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.