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Finding the Fourth Proportional to 336.08, 506.40 and 276.54

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Solution

The fourth proportional to 336.08, 506.40 and 276.54 is: 416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.08 : 506.40 = 276.54 : x
  2. Step 2: Convert to fraction form
    336.08/506.40 = 276.54/x
  3. Step 3: Cross multiply
    336.08x = 506.40 × 276.54
  4. Step 4: Simplify right side
    336.08x = 140,039.86
  5. Step 5: Solve for x
    x = 140,039.86/336.08
  6. Step 6: Final answer
    x = 416.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.