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Finding the Fourth Proportional to 205.74, 283.62 and 127.00

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Solution

The fourth proportional to 205.74, 283.62 and 127.00 is: 175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.74 : 283.62 = 127.00 : x
  2. Step 2: Convert to fraction form
    205.74/283.62 = 127.00/x
  3. Step 3: Cross multiply
    205.74x = 283.62 × 127.00
  4. Step 4: Simplify right side
    205.74x = 36,020.57
  5. Step 5: Solve for x
    x = 36,020.57/205.74
  6. Step 6: Final answer
    x = 175.08

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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.