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Finding the Fourth Proportional to 464.33, 695.89 and 190.10

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Solution

The fourth proportional to 464.33, 695.89 and 190.10 is: 284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.33 : 695.89 = 190.10 : x
  2. Step 2: Convert to fraction form
    464.33/695.89 = 190.10/x
  3. Step 3: Cross multiply
    464.33x = 695.89 × 190.10
  4. Step 4: Simplify right side
    464.33x = 132,288.69
  5. Step 5: Solve for x
    x = 132,288.69/464.33
  6. Step 6: Final answer
    x = 284.90

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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.