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Finding the Fourth Proportional to 205.74, 307.16 and 159.84

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Solution

The fourth proportional to 205.74, 307.16 and 159.84 is: 238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.74 : 307.16 = 159.84 : x
  2. Step 2: Convert to fraction form
    205.74/307.16 = 159.84/x
  3. Step 3: Cross multiply
    205.74x = 307.16 × 159.84
  4. Step 4: Simplify right side
    205.74x = 49,095.66
  5. Step 5: Solve for x
    x = 49,095.66/205.74
  6. Step 6: Final answer
    x = 238.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.