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Finding the Fourth Proportional to 434.26, 650.64 and 312.28

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Solution

The fourth proportional to 434.26, 650.64 and 312.28 is: 467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.26 : 650.64 = 312.28 : x
  2. Step 2: Convert to fraction form
    434.26/650.64 = 312.28/x
  3. Step 3: Cross multiply
    434.26x = 650.64 × 312.28
  4. Step 4: Simplify right side
    434.26x = 203,181.86
  5. Step 5: Solve for x
    x = 203,181.86/434.26
  6. Step 6: Final answer
    x = 467.88

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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.