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Finding the Fourth Proportional to 369.15, 509.18 and 303.54

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Solution

The fourth proportional to 369.15, 509.18 and 303.54 is: 418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.15 : 509.18 = 303.54 : x
  2. Step 2: Convert to fraction form
    369.15/509.18 = 303.54/x
  3. Step 3: Cross multiply
    369.15x = 509.18 × 303.54
  4. Step 4: Simplify right side
    369.15x = 154,554.98
  5. Step 5: Solve for x
    x = 154,554.98/369.15
  6. Step 6: Final answer
    x = 418.68

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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.