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Finding the Fourth Proportional to 205.84, 283.94 and 156.63

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Solution

The fourth proportional to 205.84, 283.94 and 156.63 is: 216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.84 : 283.94 = 156.63 : x
  2. Step 2: Convert to fraction form
    205.84/283.94 = 156.63/x
  3. Step 3: Cross multiply
    205.84x = 283.94 × 156.63
  4. Step 4: Simplify right side
    205.84x = 44,474.39
  5. Step 5: Solve for x
    x = 44,474.39/205.84
  6. Step 6: Final answer
    x = 216.06

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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.