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Finding the Fourth Proportional to 282.78, 388.85 and 253.09

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Solution

The fourth proportional to 282.78, 388.85 and 253.09 is: 348.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.78 : 388.85 = 253.09 : x
  2. Step 2: Convert to fraction form
    282.78/388.85 = 253.09/x
  3. Step 3: Cross multiply
    282.78x = 388.85 × 253.09
  4. Step 4: Simplify right side
    282.78x = 98,413.41
  5. Step 5: Solve for x
    x = 98,413.41/282.78
  6. Step 6: Final answer
    x = 348.02

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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.