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Finding the Fourth Proportional to 464.11, 695.64 and 189.85

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Solution

The fourth proportional to 464.11, 695.64 and 189.85 is: 284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.11 : 695.64 = 189.85 : x
  2. Step 2: Convert to fraction form
    464.11/695.64 = 189.85/x
  3. Step 3: Cross multiply
    464.11x = 695.64 × 189.85
  4. Step 4: Simplify right side
    464.11x = 132,067.25
  5. Step 5: Solve for x
    x = 132,067.25/464.11
  6. Step 6: Final answer
    x = 284.56

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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.