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Finding the Fourth Proportional to 205.17, 282.93 and 158.55

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Solution

The fourth proportional to 205.17, 282.93 and 158.55 is: 218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.17 : 282.93 = 158.55 : x
  2. Step 2: Convert to fraction form
    205.17/282.93 = 158.55/x
  3. Step 3: Cross multiply
    205.17x = 282.93 × 158.55
  4. Step 4: Simplify right side
    205.17x = 44,858.55
  5. Step 5: Solve for x
    x = 44,858.55/205.17
  6. Step 6: Final answer
    x = 218.64

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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.