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Finding the Fourth Proportional to 467.69, 645.42 and 281.19

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Solution

The fourth proportional to 467.69, 645.42 and 281.19 is: 388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.69 : 645.42 = 281.19 : x
  2. Step 2: Convert to fraction form
    467.69/645.42 = 281.19/x
  3. Step 3: Cross multiply
    467.69x = 645.42 × 281.19
  4. Step 4: Simplify right side
    467.69x = 181,485.65
  5. Step 5: Solve for x
    x = 181,485.65/467.69
  6. Step 6: Final answer
    x = 388.05

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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.