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Finding the Fourth Proportional to 468.06, 645.61 and 281.43

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Solution

The fourth proportional to 468.06, 645.61 and 281.43 is: 388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.06 : 645.61 = 281.43 : x
  2. Step 2: Convert to fraction form
    468.06/645.61 = 281.43/x
  3. Step 3: Cross multiply
    468.06x = 645.61 × 281.43
  4. Step 4: Simplify right side
    468.06x = 181,694.02
  5. Step 5: Solve for x
    x = 181,694.02/468.06
  6. Step 6: Final answer
    x = 388.19

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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.