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Finding the Fourth Proportional to 285.07, 395.05 and 281.59

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Solution

The fourth proportional to 285.07, 395.05 and 281.59 is: 390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.07 : 395.05 = 281.59 : x
  2. Step 2: Convert to fraction form
    285.07/395.05 = 281.59/x
  3. Step 3: Cross multiply
    285.07x = 395.05 × 281.59
  4. Step 4: Simplify right side
    285.07x = 111,242.13
  5. Step 5: Solve for x
    x = 111,242.13/285.07
  6. Step 6: Final answer
    x = 390.23

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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.