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Finding the Fourth Proportional to 431, 646.49 and 106.37

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Solution

The fourth proportional to 431, 646.49 and 106.37 is: 159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431 : 646.49 = 106.37 : x
  2. Step 2: Convert to fraction form
    431/646.49 = 106.37/x
  3. Step 3: Cross multiply
    431x = 646.49 × 106.37
  4. Step 4: Simplify right side
    431x = 68,767.14
  5. Step 5: Solve for x
    x = 68,767.14/431
  6. Step 6: Final answer
    x = 159.55

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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.