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Finding the Fourth Proportional to 284.67, 395.55 and 281.25

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Solution

The fourth proportional to 284.67, 395.55 and 281.25 is: 390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.67 : 395.55 = 281.25 : x
  2. Step 2: Convert to fraction form
    284.67/395.55 = 281.25/x
  3. Step 3: Cross multiply
    284.67x = 395.55 × 281.25
  4. Step 4: Simplify right side
    284.67x = 111,248.44
  5. Step 5: Solve for x
    x = 111,248.44/284.67
  6. Step 6: Final answer
    x = 390.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.