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Finding the Fourth Proportional to 205, 306.86 and 150.16

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Solution

The fourth proportional to 205, 306.86 and 150.16 is: 224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205 : 306.86 = 150.16 : x
  2. Step 2: Convert to fraction form
    205/306.86 = 150.16/x
  3. Step 3: Cross multiply
    205x = 306.86 × 150.16
  4. Step 4: Simplify right side
    205x = 46,078.10
  5. Step 5: Solve for x
    x = 46,078.10/205
  6. Step 6: Final answer
    x = 224.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.