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Finding the Fourth Proportional to 431.46, 647.19 and 142.88

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Solution

The fourth proportional to 431.46, 647.19 and 142.88 is: 214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.46 : 647.19 = 142.88 : x
  2. Step 2: Convert to fraction form
    431.46/647.19 = 142.88/x
  3. Step 3: Cross multiply
    431.46x = 647.19 × 142.88
  4. Step 4: Simplify right side
    431.46x = 92,467.27
  5. Step 5: Solve for x
    x = 92,467.27/431.46
  6. Step 6: Final answer
    x = 214.31

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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.