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Finding the Fourth Proportional to 295.59, 443.33 and 280.96

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Solution

The fourth proportional to 295.59, 443.33 and 280.96 is: 421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.59 : 443.33 = 280.96 : x
  2. Step 2: Convert to fraction form
    295.59/443.33 = 280.96/x
  3. Step 3: Cross multiply
    295.59x = 443.33 × 280.96
  4. Step 4: Simplify right side
    295.59x = 124,556.19
  5. Step 5: Solve for x
    x = 124,556.19/295.59
  6. Step 6: Final answer
    x = 421.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.