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Finding the Fourth Proportional to 205.60, 307.82 and 154.02

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Solution

The fourth proportional to 205.60, 307.82 and 154.02 is: 230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.60 : 307.82 = 154.02 : x
  2. Step 2: Convert to fraction form
    205.60/307.82 = 154.02/x
  3. Step 3: Cross multiply
    205.60x = 307.82 × 154.02
  4. Step 4: Simplify right side
    205.60x = 47,410.44
  5. Step 5: Solve for x
    x = 47,410.44/205.60
  6. Step 6: Final answer
    x = 230.60

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