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Finding the Fourth Proportional to 334.36, 501.90 and 280.84

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Solution

The fourth proportional to 334.36, 501.90 and 280.84 is: 421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.36 : 501.90 = 280.84 : x
  2. Step 2: Convert to fraction form
    334.36/501.90 = 280.84/x
  3. Step 3: Cross multiply
    334.36x = 501.90 × 280.84
  4. Step 4: Simplify right side
    334.36x = 140,953.60
  5. Step 5: Solve for x
    x = 140,953.60/334.36
  6. Step 6: Final answer
    x = 421.56

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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.