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Finding the Fourth Proportional to 369.38, 509.19 and 303.77

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Solution

The fourth proportional to 369.38, 509.19 and 303.77 is: 418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.38 : 509.19 = 303.77 : x
  2. Step 2: Convert to fraction form
    369.38/509.19 = 303.77/x
  3. Step 3: Cross multiply
    369.38x = 509.19 × 303.77
  4. Step 4: Simplify right side
    369.38x = 154,674.87
  5. Step 5: Solve for x
    x = 154,674.87/369.38
  6. Step 6: Final answer
    x = 418.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.