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Finding the Fourth Proportional to 369.68, 513.59 and 366.30

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Solution

The fourth proportional to 369.68, 513.59 and 366.30 is: 508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.68 : 513.59 = 366.30 : x
  2. Step 2: Convert to fraction form
    369.68/513.59 = 366.30/x
  3. Step 3: Cross multiply
    369.68x = 513.59 × 366.30
  4. Step 4: Simplify right side
    369.68x = 188,126.19
  5. Step 5: Solve for x
    x = 188,126.19/369.68
  6. Step 6: Final answer
    x = 508.90

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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.