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Finding the Fourth Proportional to 205.46, 283.45 and 135.52

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Solution

The fourth proportional to 205.46, 283.45 and 135.52 is: 186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.46 : 283.45 = 135.52 : x
  2. Step 2: Convert to fraction form
    205.46/283.45 = 135.52/x
  3. Step 3: Cross multiply
    205.46x = 283.45 × 135.52
  4. Step 4: Simplify right side
    205.46x = 38,413.14
  5. Step 5: Solve for x
    x = 38,413.14/205.46
  6. Step 6: Final answer
    x = 186.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.