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Finding the Fourth Proportional to 431.52, 647.27 and 106.89

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Solution

The fourth proportional to 431.52, 647.27 and 106.89 is: 160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.52 : 647.27 = 106.89 : x
  2. Step 2: Convert to fraction form
    431.52/647.27 = 106.89/x
  3. Step 3: Cross multiply
    431.52x = 647.27 × 106.89
  4. Step 4: Simplify right side
    431.52x = 69,182.92
  5. Step 5: Solve for x
    x = 69,182.92/431.52
  6. Step 6: Final answer
    x = 160.33

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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.