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Finding the Fourth Proportional to 205.51, 309.80 and 203.69

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Solution

The fourth proportional to 205.51, 309.80 and 203.69 is: 307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.51 : 309.80 = 203.69 : x
  2. Step 2: Convert to fraction form
    205.51/309.80 = 203.69/x
  3. Step 3: Cross multiply
    205.51x = 309.80 × 203.69
  4. Step 4: Simplify right side
    205.51x = 63,103.16
  5. Step 5: Solve for x
    x = 63,103.16/205.51
  6. Step 6: Final answer
    x = 307.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.