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Finding the Fourth Proportional to 335.90, 506.14 and 276.37

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Solution

The fourth proportional to 335.90, 506.14 and 276.37 is: 416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.90 : 506.14 = 276.37 : x
  2. Step 2: Convert to fraction form
    335.90/506.14 = 276.37/x
  3. Step 3: Cross multiply
    335.90x = 506.14 × 276.37
  4. Step 4: Simplify right side
    335.90x = 139,881.91
  5. Step 5: Solve for x
    x = 139,881.91/335.90
  6. Step 6: Final answer
    x = 416.44

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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.