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Finding the Fourth Proportional to 431.49, 647.24 and 106.86

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Solution

The fourth proportional to 431.49, 647.24 and 106.86 is: 160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.49 : 647.24 = 106.86 : x
  2. Step 2: Convert to fraction form
    431.49/647.24 = 106.86/x
  3. Step 3: Cross multiply
    431.49x = 647.24 × 106.86
  4. Step 4: Simplify right side
    431.49x = 69,165.96
  5. Step 5: Solve for x
    x = 69,165.96/431.49
  6. Step 6: Final answer
    x = 160.29

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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.