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Finding the Fourth Proportional to 382.05, 526.77 and 250.83

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Solution

The fourth proportional to 382.05, 526.77 and 250.83 is: 345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.05 : 526.77 = 250.83 : x
  2. Step 2: Convert to fraction form
    382.05/526.77 = 250.83/x
  3. Step 3: Cross multiply
    382.05x = 526.77 × 250.83
  4. Step 4: Simplify right side
    382.05x = 132,129.72
  5. Step 5: Solve for x
    x = 132,129.72/382.05
  6. Step 6: Final answer
    x = 345.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.