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Finding the Fourth Proportional to 205.77, 307.93 and 162.06

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Solution

The fourth proportional to 205.77, 307.93 and 162.06 is: 242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.77 : 307.93 = 162.06 : x
  2. Step 2: Convert to fraction form
    205.77/307.93 = 162.06/x
  3. Step 3: Cross multiply
    205.77x = 307.93 × 162.06
  4. Step 4: Simplify right side
    205.77x = 49,903.14
  5. Step 5: Solve for x
    x = 49,903.14/205.77
  6. Step 6: Final answer
    x = 242.52

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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.