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Finding the Fourth Proportional to 271.78, 405.73 and 230.77

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Solution

The fourth proportional to 271.78, 405.73 and 230.77 is: 344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.78 : 405.73 = 230.77 : x
  2. Step 2: Convert to fraction form
    271.78/405.73 = 230.77/x
  3. Step 3: Cross multiply
    271.78x = 405.73 × 230.77
  4. Step 4: Simplify right side
    271.78x = 93,630.31
  5. Step 5: Solve for x
    x = 93,630.31/271.78
  6. Step 6: Final answer
    x = 344.51

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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.