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Finding the Fourth Proportional to 369.06, 506.46 and 359.88

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Solution

The fourth proportional to 369.06, 506.46 and 359.88 is: 493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.06 : 506.46 = 359.88 : x
  2. Step 2: Convert to fraction form
    369.06/506.46 = 359.88/x
  3. Step 3: Cross multiply
    369.06x = 506.46 × 359.88
  4. Step 4: Simplify right side
    369.06x = 182,264.82
  5. Step 5: Solve for x
    x = 182,264.82/369.06
  6. Step 6: Final answer
    x = 493.86

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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.