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Finding the Fourth Proportional to 365.33, 504.11 and 207.90

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Solution

The fourth proportional to 365.33, 504.11 and 207.90 is: 286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.33 : 504.11 = 207.90 : x
  2. Step 2: Convert to fraction form
    365.33/504.11 = 207.90/x
  3. Step 3: Cross multiply
    365.33x = 504.11 × 207.90
  4. Step 4: Simplify right side
    365.33x = 104,803.43
  5. Step 5: Solve for x
    x = 104,803.43/365.33
  6. Step 6: Final answer
    x = 286.88

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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.