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Finding the Fourth Proportional to 471.28, 706.53 and 224.35

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Solution

The fourth proportional to 471.28, 706.53 and 224.35 is: 336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.28 : 706.53 = 224.35 : x
  2. Step 2: Convert to fraction form
    471.28/706.53 = 224.35/x
  3. Step 3: Cross multiply
    471.28x = 706.53 × 224.35
  4. Step 4: Simplify right side
    471.28x = 158,511.79
  5. Step 5: Solve for x
    x = 158,511.79/471.28
  6. Step 6: Final answer
    x = 336.34

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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.