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Finding the Fourth Proportional to 431.13, 646.16 and 214.23

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Solution

The fourth proportional to 431.13, 646.16 and 214.23 is: 321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.13 : 646.16 = 214.23 : x
  2. Step 2: Convert to fraction form
    431.13/646.16 = 214.23/x
  3. Step 3: Cross multiply
    431.13x = 646.16 × 214.23
  4. Step 4: Simplify right side
    431.13x = 138,425.79
  5. Step 5: Solve for x
    x = 138,425.79/431.13
  6. Step 6: Final answer
    x = 321.08

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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.