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Finding the Fourth Proportional to 471.50, 706.82 and 254.82

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Solution

The fourth proportional to 471.50, 706.82 and 254.82 is: 382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.50 : 706.82 = 254.82 : x
  2. Step 2: Convert to fraction form
    471.50/706.82 = 254.82/x
  3. Step 3: Cross multiply
    471.50x = 706.82 × 254.82
  4. Step 4: Simplify right side
    471.50x = 180,110.60
  5. Step 5: Solve for x
    x = 180,110.60/471.50
  6. Step 6: Final answer
    x = 382.00

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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.