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Finding the Fourth Proportional to 468.49, 646.44 and 281.86

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Solution

The fourth proportional to 468.49, 646.44 and 281.86 is: 388.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.49 : 646.44 = 281.86 : x
  2. Step 2: Convert to fraction form
    468.49/646.44 = 281.86/x
  3. Step 3: Cross multiply
    468.49x = 646.44 × 281.86
  4. Step 4: Simplify right side
    468.49x = 182,205.58
  5. Step 5: Solve for x
    x = 182,205.58/468.49
  6. Step 6: Final answer
    x = 388.92

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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.