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Finding the Fourth Proportional to 369.82, 552.02 and 359.56

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Solution

The fourth proportional to 369.82, 552.02 and 359.56 is: 536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.82 : 552.02 = 359.56 : x
  2. Step 2: Convert to fraction form
    369.82/552.02 = 359.56/x
  3. Step 3: Cross multiply
    369.82x = 552.02 × 359.56
  4. Step 4: Simplify right side
    369.82x = 198,484.31
  5. Step 5: Solve for x
    x = 198,484.31/369.82
  6. Step 6: Final answer
    x = 536.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.