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Finding the Fourth Proportional to 467.81, 645.80 and 321.20

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Solution

The fourth proportional to 467.81, 645.80 and 321.20 is: 443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.81 : 645.80 = 321.20 : x
  2. Step 2: Convert to fraction form
    467.81/645.80 = 321.20/x
  3. Step 3: Cross multiply
    467.81x = 645.80 × 321.20
  4. Step 4: Simplify right side
    467.81x = 207,426.13
  5. Step 5: Solve for x
    x = 207,426.13/467.81
  6. Step 6: Final answer
    x = 443.40

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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.