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Finding the Fourth Proportional to 285.07, 427.03 and 212.03

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Solution

The fourth proportional to 285.07, 427.03 and 212.03 is: 317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.07 : 427.03 = 212.03 : x
  2. Step 2: Convert to fraction form
    285.07/427.03 = 212.03/x
  3. Step 3: Cross multiply
    285.07x = 427.03 × 212.03
  4. Step 4: Simplify right side
    285.07x = 90,540.51
  5. Step 5: Solve for x
    x = 90,540.51/285.07
  6. Step 6: Final answer
    x = 317.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.