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Finding the Fourth Proportional to 271.74, 375.16 and 234.98

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Solution

The fourth proportional to 271.74, 375.16 and 234.98 is: 324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.74 : 375.16 = 234.98 : x
  2. Step 2: Convert to fraction form
    271.74/375.16 = 234.98/x
  3. Step 3: Cross multiply
    271.74x = 375.16 × 234.98
  4. Step 4: Simplify right side
    271.74x = 88,155.10
  5. Step 5: Solve for x
    x = 88,155.10/271.74
  6. Step 6: Final answer
    x = 324.41

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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.