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Finding the Fourth Proportional to 271.98, 374.22 and 235.08

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Solution

The fourth proportional to 271.98, 374.22 and 235.08 is: 323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.98 : 374.22 = 235.08 : x
  2. Step 2: Convert to fraction form
    271.98/374.22 = 235.08/x
  3. Step 3: Cross multiply
    271.98x = 374.22 × 235.08
  4. Step 4: Simplify right side
    271.98x = 87,971.64
  5. Step 5: Solve for x
    x = 87,971.64/271.98
  6. Step 6: Final answer
    x = 323.45

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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.