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Finding the Fourth Proportional to 431.23, 646.89 and 214.69

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Solution

The fourth proportional to 431.23, 646.89 and 214.69 is: 322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.23 : 646.89 = 214.69 : x
  2. Step 2: Convert to fraction form
    431.23/646.89 = 214.69/x
  3. Step 3: Cross multiply
    431.23x = 646.89 × 214.69
  4. Step 4: Simplify right side
    431.23x = 138,879.74
  5. Step 5: Solve for x
    x = 138,879.74/431.23
  6. Step 6: Final answer
    x = 322.05

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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.