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Finding the Fourth Proportional to 471.87, 652.19 and 355.23

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Solution

The fourth proportional to 471.87, 652.19 and 355.23 is: 490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.87 : 652.19 = 355.23 : x
  2. Step 2: Convert to fraction form
    471.87/652.19 = 355.23/x
  3. Step 3: Cross multiply
    471.87x = 652.19 × 355.23
  4. Step 4: Simplify right side
    471.87x = 231,675.68
  5. Step 5: Solve for x
    x = 231,675.68/471.87
  6. Step 6: Final answer
    x = 490.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.