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Finding the Fourth Proportional to 365.83, 504.82 and 208.45

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Solution

The fourth proportional to 365.83, 504.82 and 208.45 is: 287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.83 : 504.82 = 208.45 : x
  2. Step 2: Convert to fraction form
    365.83/504.82 = 208.45/x
  3. Step 3: Cross multiply
    365.83x = 504.82 × 208.45
  4. Step 4: Simplify right side
    365.83x = 105,226.16
  5. Step 5: Solve for x
    x = 105,226.16/365.83
  6. Step 6: Final answer
    x = 287.64

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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.