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Finding the Fourth Proportional to 523.60, 785.28 and 198.88

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Solution

The fourth proportional to 523.60, 785.28 and 198.88 is: 298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.60 : 785.28 = 198.88 : x
  2. Step 2: Convert to fraction form
    523.60/785.28 = 198.88/x
  3. Step 3: Cross multiply
    523.60x = 785.28 × 198.88
  4. Step 4: Simplify right side
    523.60x = 156,176.49
  5. Step 5: Solve for x
    x = 156,176.49/523.60
  6. Step 6: Final answer
    x = 298.27

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