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Finding the Fourth Proportional to 205.58, 307.83 and 114.08

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Solution

The fourth proportional to 205.58, 307.83 and 114.08 is: 170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.58 : 307.83 = 114.08 : x
  2. Step 2: Convert to fraction form
    205.58/307.83 = 114.08/x
  3. Step 3: Cross multiply
    205.58x = 307.83 × 114.08
  4. Step 4: Simplify right side
    205.58x = 35,117.25
  5. Step 5: Solve for x
    x = 35,117.25/205.58
  6. Step 6: Final answer
    x = 170.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.