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Finding the Fourth Proportional to 271.61, 405.36 and 230.45

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Solution

The fourth proportional to 271.61, 405.36 and 230.45 is: 343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.61 : 405.36 = 230.45 : x
  2. Step 2: Convert to fraction form
    271.61/405.36 = 230.45/x
  3. Step 3: Cross multiply
    271.61x = 405.36 × 230.45
  4. Step 4: Simplify right side
    271.61x = 93,413.19
  5. Step 5: Solve for x
    x = 93,413.19/271.61
  6. Step 6: Final answer
    x = 343.93

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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.