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Finding the Fourth Proportional to 271.08, 405.39 and 202.65

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Solution

The fourth proportional to 271.08, 405.39 and 202.65 is: 303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.08 : 405.39 = 202.65 : x
  2. Step 2: Convert to fraction form
    271.08/405.39 = 202.65/x
  3. Step 3: Cross multiply
    271.08x = 405.39 × 202.65
  4. Step 4: Simplify right side
    271.08x = 82,152.28
  5. Step 5: Solve for x
    x = 82,152.28/271.08
  6. Step 6: Final answer
    x = 303.06

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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.