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Finding the Fourth Proportional to 431.54, 647.31 and 106.91

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Solution

The fourth proportional to 431.54, 647.31 and 106.91 is: 160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.54 : 647.31 = 106.91 : x
  2. Step 2: Convert to fraction form
    431.54/647.31 = 106.91/x
  3. Step 3: Cross multiply
    431.54x = 647.31 × 106.91
  4. Step 4: Simplify right side
    431.54x = 69,206.54
  5. Step 5: Solve for x
    x = 69,206.54/431.54
  6. Step 6: Final answer
    x = 160.37

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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.