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Finding the Fourth Proportional to 369.76, 512.38 and 365.12

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Solution

The fourth proportional to 369.76, 512.38 and 365.12 is: 505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.76 : 512.38 = 365.12 : x
  2. Step 2: Convert to fraction form
    369.76/512.38 = 365.12/x
  3. Step 3: Cross multiply
    369.76x = 512.38 × 365.12
  4. Step 4: Simplify right side
    369.76x = 187,080.19
  5. Step 5: Solve for x
    x = 187,080.19/369.76
  6. Step 6: Final answer
    x = 505.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.