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Finding the Fourth Proportional to 575.28, 863 and 190.64

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Solution

The fourth proportional to 575.28, 863 and 190.64 is: 285.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.28 : 863 = 190.64 : x
  2. Step 2: Convert to fraction form
    575.28/863 = 190.64/x
  3. Step 3: Cross multiply
    575.28x = 863 × 190.64
  4. Step 4: Simplify right side
    575.28x = 164,522.32
  5. Step 5: Solve for x
    x = 164,522.32/575.28
  6. Step 6: Final answer
    x = 285.99

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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.