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Finding the Fourth Proportional to 321.48, 443.70 and 280.08

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Solution

The fourth proportional to 321.48, 443.70 and 280.08 is: 386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.48 : 443.70 = 280.08 : x
  2. Step 2: Convert to fraction form
    321.48/443.70 = 280.08/x
  3. Step 3: Cross multiply
    321.48x = 443.70 × 280.08
  4. Step 4: Simplify right side
    321.48x = 124,271.50
  5. Step 5: Solve for x
    x = 124,271.50/321.48
  6. Step 6: Final answer
    x = 386.56

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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.