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Finding the Fourth Proportional to 467.08, 643.78 and 319.46

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Solution

The fourth proportional to 467.08, 643.78 and 319.46 is: 440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.08 : 643.78 = 319.46 : x
  2. Step 2: Convert to fraction form
    467.08/643.78 = 319.46/x
  3. Step 3: Cross multiply
    467.08x = 643.78 × 319.46
  4. Step 4: Simplify right side
    467.08x = 205,660.36
  5. Step 5: Solve for x
    x = 205,660.36/467.08
  6. Step 6: Final answer
    x = 440.31

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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.