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Finding the Fourth Proportional to 431.28, 646.96 and 214.72

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Solution

The fourth proportional to 431.28, 646.96 and 214.72 is: 322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.28 : 646.96 = 214.72 : x
  2. Step 2: Convert to fraction form
    431.28/646.96 = 214.72/x
  3. Step 3: Cross multiply
    431.28x = 646.96 × 214.72
  4. Step 4: Simplify right side
    431.28x = 138,915.25
  5. Step 5: Solve for x
    x = 138,915.25/431.28
  6. Step 6: Final answer
    x = 322.10

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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.