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Finding the Fourth Proportional to 395.03, 544.90 and 284.33

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Solution

The fourth proportional to 395.03, 544.90 and 284.33 is: 392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.03 : 544.90 = 284.33 : x
  2. Step 2: Convert to fraction form
    395.03/544.90 = 284.33/x
  3. Step 3: Cross multiply
    395.03x = 544.90 × 284.33
  4. Step 4: Simplify right side
    395.03x = 154,930.00
  5. Step 5: Solve for x
    x = 154,930.00/395.03
  6. Step 6: Final answer
    x = 392.20

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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.