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Finding the Fourth Proportional to 471.37, 706.24 and 255.10

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Solution

The fourth proportional to 471.37, 706.24 and 255.10 is: 382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.37 : 706.24 = 255.10 : x
  2. Step 2: Convert to fraction form
    471.37/706.24 = 255.10/x
  3. Step 3: Cross multiply
    471.37x = 706.24 × 255.10
  4. Step 4: Simplify right side
    471.37x = 180,161.82
  5. Step 5: Solve for x
    x = 180,161.82/471.37
  6. Step 6: Final answer
    x = 382.21

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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.