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Finding the Fourth Proportional to 471.08, 706.17 and 339.20

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Solution

The fourth proportional to 471.08, 706.17 and 339.20 is: 508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.08 : 706.17 = 339.20 : x
  2. Step 2: Convert to fraction form
    471.08/706.17 = 339.20/x
  3. Step 3: Cross multiply
    471.08x = 706.17 × 339.20
  4. Step 4: Simplify right side
    471.08x = 239,532.86
  5. Step 5: Solve for x
    x = 239,532.86/471.08
  6. Step 6: Final answer
    x = 508.48

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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.