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Finding the Fourth Proportional to 205.29, 309.16 and 187.20

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Solution

The fourth proportional to 205.29, 309.16 and 187.20 is: 281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.29 : 309.16 = 187.20 : x
  2. Step 2: Convert to fraction form
    205.29/309.16 = 187.20/x
  3. Step 3: Cross multiply
    205.29x = 309.16 × 187.20
  4. Step 4: Simplify right side
    205.29x = 57,873.82
  5. Step 5: Solve for x
    x = 57,873.82/205.29
  6. Step 6: Final answer
    x = 281.91

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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.