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Finding the Fourth Proportional to 468.61, 646.41 and 344.05

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Solution

The fourth proportional to 468.61, 646.41 and 344.05 is: 474.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.61 : 646.41 = 344.05 : x
  2. Step 2: Convert to fraction form
    468.61/646.41 = 344.05/x
  3. Step 3: Cross multiply
    468.61x = 646.41 × 344.05
  4. Step 4: Simplify right side
    468.61x = 222,397.36
  5. Step 5: Solve for x
    x = 222,397.36/468.61
  6. Step 6: Final answer
    x = 474.59

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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.