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Finding the Fourth Proportional to 369.09, 509.54 and 286.01

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Solution

The fourth proportional to 369.09, 509.54 and 286.01 is: 394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.09 : 509.54 = 286.01 : x
  2. Step 2: Convert to fraction form
    369.09/509.54 = 286.01/x
  3. Step 3: Cross multiply
    369.09x = 509.54 × 286.01
  4. Step 4: Simplify right side
    369.09x = 145,733.54
  5. Step 5: Solve for x
    x = 145,733.54/369.09
  6. Step 6: Final answer
    x = 394.85

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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.