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Finding the Fourth Proportional to 468.08, 645.68 and 281.44

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Solution

The fourth proportional to 468.08, 645.68 and 281.44 is: 388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.08 : 645.68 = 281.44 : x
  2. Step 2: Convert to fraction form
    468.08/645.68 = 281.44/x
  3. Step 3: Cross multiply
    468.08x = 645.68 × 281.44
  4. Step 4: Simplify right side
    468.08x = 181,720.18
  5. Step 5: Solve for x
    x = 181,720.18/468.08
  6. Step 6: Final answer
    x = 388.22

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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.