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Finding the Fourth Proportional to 365.09, 504.36 and 286.74

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Solution

The fourth proportional to 365.09, 504.36 and 286.74 is: 396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.09 : 504.36 = 286.74 : x
  2. Step 2: Convert to fraction form
    365.09/504.36 = 286.74/x
  3. Step 3: Cross multiply
    365.09x = 504.36 × 286.74
  4. Step 4: Simplify right side
    365.09x = 144,620.19
  5. Step 5: Solve for x
    x = 144,620.19/365.09
  6. Step 6: Final answer
    x = 396.13

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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.