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Finding the Fourth Proportional to 431.09, 646.75 and 171.12

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Solution

The fourth proportional to 431.09, 646.75 and 171.12 is: 256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.09 : 646.75 = 171.12 : x
  2. Step 2: Convert to fraction form
    431.09/646.75 = 171.12/x
  3. Step 3: Cross multiply
    431.09x = 646.75 × 171.12
  4. Step 4: Simplify right side
    431.09x = 110,674.50
  5. Step 5: Solve for x
    x = 110,674.50/431.09
  6. Step 6: Final answer
    x = 256.73

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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.