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Finding the Fourth Proportional to 468.26, 646.16 and 258.39

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Solution

The fourth proportional to 468.26, 646.16 and 258.39 is: 356.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.26 : 646.16 = 258.39 : x
  2. Step 2: Convert to fraction form
    468.26/646.16 = 258.39/x
  3. Step 3: Cross multiply
    468.26x = 646.16 × 258.39
  4. Step 4: Simplify right side
    468.26x = 166,961.28
  5. Step 5: Solve for x
    x = 166,961.28/468.26
  6. Step 6: Final answer
    x = 356.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.