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Finding the Fourth Proportional to 334.52, 499.57 and 280

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Solution

The fourth proportional to 334.52, 499.57 and 280 is: 418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.52 : 499.57 = 280 : x
  2. Step 2: Convert to fraction form
    334.52/499.57 = 280/x
  3. Step 3: Cross multiply
    334.52x = 499.57 × 280
  4. Step 4: Simplify right side
    334.52x = 139,879.60
  5. Step 5: Solve for x
    x = 139,879.60/334.52
  6. Step 6: Final answer
    x = 418.15

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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.