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Finding the Fourth Proportional to 255.08, 380.18 and 206.12

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Solution

The fourth proportional to 255.08, 380.18 and 206.12 is: 307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.08 : 380.18 = 206.12 : x
  2. Step 2: Convert to fraction form
    255.08/380.18 = 206.12/x
  3. Step 3: Cross multiply
    255.08x = 380.18 × 206.12
  4. Step 4: Simplify right side
    255.08x = 78,362.70
  5. Step 5: Solve for x
    x = 78,362.70/255.08
  6. Step 6: Final answer
    x = 307.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.