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Finding the Fourth Proportional to 205.65, 283.68 and 128.07

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Solution

The fourth proportional to 205.65, 283.68 and 128.07 is: 176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.65 : 283.68 = 128.07 : x
  2. Step 2: Convert to fraction form
    205.65/283.68 = 128.07/x
  3. Step 3: Cross multiply
    205.65x = 283.68 × 128.07
  4. Step 4: Simplify right side
    205.65x = 36,330.90
  5. Step 5: Solve for x
    x = 36,330.90/205.65
  6. Step 6: Final answer
    x = 176.66

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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.