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Finding the Fourth Proportional to 368.80, 506.07 and 335.92

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Solution

The fourth proportional to 368.80, 506.07 and 335.92 is: 460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.80 : 506.07 = 335.92 : x
  2. Step 2: Convert to fraction form
    368.80/506.07 = 335.92/x
  3. Step 3: Cross multiply
    368.80x = 506.07 × 335.92
  4. Step 4: Simplify right side
    368.80x = 169,999.03
  5. Step 5: Solve for x
    x = 169,999.03/368.80
  6. Step 6: Final answer
    x = 460.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.