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Finding the Fourth Proportional to 365.70, 504.68 and 208.37

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Solution

The fourth proportional to 365.70, 504.68 and 208.37 is: 287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.70 : 504.68 = 208.37 : x
  2. Step 2: Convert to fraction form
    365.70/504.68 = 208.37/x
  3. Step 3: Cross multiply
    365.70x = 504.68 × 208.37
  4. Step 4: Simplify right side
    365.70x = 105,156.61
  5. Step 5: Solve for x
    x = 105,156.61/365.70
  6. Step 6: Final answer
    x = 287.55

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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.