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Finding the Fourth Proportional to 380.76, 572.19 and 198.30

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Solution

The fourth proportional to 380.76, 572.19 and 198.30 is: 298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.76 : 572.19 = 198.30 : x
  2. Step 2: Convert to fraction form
    380.76/572.19 = 198.30/x
  3. Step 3: Cross multiply
    380.76x = 572.19 × 198.30
  4. Step 4: Simplify right side
    380.76x = 113,465.28
  5. Step 5: Solve for x
    x = 113,465.28/380.76
  6. Step 6: Final answer
    x = 298.00

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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.