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Finding the Fourth Proportional to 369.94, 506.82 and 356.10

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Solution

The fourth proportional to 369.94, 506.82 and 356.10 is: 487.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.94 : 506.82 = 356.10 : x
  2. Step 2: Convert to fraction form
    369.94/506.82 = 356.10/x
  3. Step 3: Cross multiply
    369.94x = 506.82 × 356.10
  4. Step 4: Simplify right side
    369.94x = 180,478.60
  5. Step 5: Solve for x
    x = 180,478.60/369.94
  6. Step 6: Final answer
    x = 487.86

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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.