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Finding the Fourth Proportional to 431.12, 646.40 and 214.56

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Solution

The fourth proportional to 431.12, 646.40 and 214.56 is: 321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.12 : 646.40 = 214.56 : x
  2. Step 2: Convert to fraction form
    431.12/646.40 = 214.56/x
  3. Step 3: Cross multiply
    431.12x = 646.40 × 214.56
  4. Step 4: Simplify right side
    431.12x = 138,691.58
  5. Step 5: Solve for x
    x = 138,691.58/431.12
  6. Step 6: Final answer
    x = 321.70

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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.