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Finding the Fourth Proportional to 369.38, 512.14 and 355.70

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Solution

The fourth proportional to 369.38, 512.14 and 355.70 is: 493.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.38 : 512.14 = 355.70 : x
  2. Step 2: Convert to fraction form
    369.38/512.14 = 355.70/x
  3. Step 3: Cross multiply
    369.38x = 512.14 × 355.70
  4. Step 4: Simplify right side
    369.38x = 182,166.42
  5. Step 5: Solve for x
    x = 182,166.42/369.38
  6. Step 6: Final answer
    x = 493.17

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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.