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Finding the Fourth Proportional to 205.79, 307.80 and 137.07

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Solution

The fourth proportional to 205.79, 307.80 and 137.07 is: 205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.79 : 307.80 = 137.07 : x
  2. Step 2: Convert to fraction form
    205.79/307.80 = 137.07/x
  3. Step 3: Cross multiply
    205.79x = 307.80 × 137.07
  4. Step 4: Simplify right side
    205.79x = 42,190.15
  5. Step 5: Solve for x
    x = 42,190.15/205.79
  6. Step 6: Final answer
    x = 205.02

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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.