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Finding the Fourth Proportional to 369.72, 506.97 and 356.76

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Solution

The fourth proportional to 369.72, 506.97 and 356.76 is: 489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.72 : 506.97 = 356.76 : x
  2. Step 2: Convert to fraction form
    369.72/506.97 = 356.76/x
  3. Step 3: Cross multiply
    369.72x = 506.97 × 356.76
  4. Step 4: Simplify right side
    369.72x = 180,866.62
  5. Step 5: Solve for x
    x = 180,866.62/369.72
  6. Step 6: Final answer
    x = 489.20

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