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Finding the Fourth Proportional to 464.01, 695.82 and 189.91

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Solution

The fourth proportional to 464.01, 695.82 and 189.91 is: 284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.01 : 695.82 = 189.91 : x
  2. Step 2: Convert to fraction form
    464.01/695.82 = 189.91/x
  3. Step 3: Cross multiply
    464.01x = 695.82 × 189.91
  4. Step 4: Simplify right side
    464.01x = 132,143.18
  5. Step 5: Solve for x
    x = 132,143.18/464.01
  6. Step 6: Final answer
    x = 284.79

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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.