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Finding the Fourth Proportional to 431.09, 646.75 and 142.73

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Solution

The fourth proportional to 431.09, 646.75 and 142.73 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.09 : 646.75 = 142.73 : x
  2. Step 2: Convert to fraction form
    431.09/646.75 = 142.73/x
  3. Step 3: Cross multiply
    431.09x = 646.75 × 142.73
  4. Step 4: Simplify right side
    431.09x = 92,307.39
  5. Step 5: Solve for x
    x = 92,307.39/431.09
  6. Step 6: Final answer
    x = 214.13

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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.