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Finding the Fourth Proportional to 205.19, 309.29 and 187.88

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Solution

The fourth proportional to 205.19, 309.29 and 187.88 is: 283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.19 : 309.29 = 187.88 : x
  2. Step 2: Convert to fraction form
    205.19/309.29 = 187.88/x
  3. Step 3: Cross multiply
    205.19x = 309.29 × 187.88
  4. Step 4: Simplify right side
    205.19x = 58,106.92
  5. Step 5: Solve for x
    x = 58,106.92/205.19
  6. Step 6: Final answer
    x = 283.18

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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.