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Finding the Fourth Proportional to 205.06, 283.24 and 152.68

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Solution

The fourth proportional to 205.06, 283.24 and 152.68 is: 210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.06 : 283.24 = 152.68 : x
  2. Step 2: Convert to fraction form
    205.06/283.24 = 152.68/x
  3. Step 3: Cross multiply
    205.06x = 283.24 × 152.68
  4. Step 4: Simplify right side
    205.06x = 43,245.08
  5. Step 5: Solve for x
    x = 43,245.08/205.06
  6. Step 6: Final answer
    x = 210.89

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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.