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Finding the Fourth Proportional to 365.51, 504.35 and 205.99

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Solution

The fourth proportional to 365.51, 504.35 and 205.99 is: 284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.51 : 504.35 = 205.99 : x
  2. Step 2: Convert to fraction form
    365.51/504.35 = 205.99/x
  3. Step 3: Cross multiply
    365.51x = 504.35 × 205.99
  4. Step 4: Simplify right side
    365.51x = 103,891.06
  5. Step 5: Solve for x
    x = 103,891.06/365.51
  6. Step 6: Final answer
    x = 284.24

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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.