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Finding the Fourth Proportional to 334.32, 499.32 and 280.26

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Solution

The fourth proportional to 334.32, 499.32 and 280.26 is: 418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.32 : 499.32 = 280.26 : x
  2. Step 2: Convert to fraction form
    334.32/499.32 = 280.26/x
  3. Step 3: Cross multiply
    334.32x = 499.32 × 280.26
  4. Step 4: Simplify right side
    334.32x = 139,939.42
  5. Step 5: Solve for x
    x = 139,939.42/334.32
  6. Step 6: Final answer
    x = 418.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.