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Finding the Fourth Proportional to 429.39, 646.59 and 308.49

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Solution

The fourth proportional to 429.39, 646.59 and 308.49 is: 464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.39 : 646.59 = 308.49 : x
  2. Step 2: Convert to fraction form
    429.39/646.59 = 308.49/x
  3. Step 3: Cross multiply
    429.39x = 646.59 × 308.49
  4. Step 4: Simplify right side
    429.39x = 199,466.55
  5. Step 5: Solve for x
    x = 199,466.55/429.39
  6. Step 6: Final answer
    x = 464.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.