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Finding the Fourth Proportional to 369.44, 506.14 and 355.60

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Solution

The fourth proportional to 369.44, 506.14 and 355.60 is: 487.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.44 : 506.14 = 355.60 : x
  2. Step 2: Convert to fraction form
    369.44/506.14 = 355.60/x
  3. Step 3: Cross multiply
    369.44x = 506.14 × 355.60
  4. Step 4: Simplify right side
    369.44x = 179,983.38
  5. Step 5: Solve for x
    x = 179,983.38/369.44
  6. Step 6: Final answer
    x = 487.18

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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.