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Finding the Fourth Proportional to 468.10, 646.03 and 281.68

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Solution

The fourth proportional to 468.10, 646.03 and 281.68 is: 388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.10 : 646.03 = 281.68 : x
  2. Step 2: Convert to fraction form
    468.10/646.03 = 281.68/x
  3. Step 3: Cross multiply
    468.10x = 646.03 × 281.68
  4. Step 4: Simplify right side
    468.10x = 181,976.05
  5. Step 5: Solve for x
    x = 181,976.05/468.10
  6. Step 6: Final answer
    x = 388.75

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