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Finding the Fourth Proportional to 285.06, 428.07 and 212.66

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Solution

The fourth proportional to 285.06, 428.07 and 212.66 is: 319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.06 : 428.07 = 212.66 : x
  2. Step 2: Convert to fraction form
    285.06/428.07 = 212.66/x
  3. Step 3: Cross multiply
    285.06x = 428.07 × 212.66
  4. Step 4: Simplify right side
    285.06x = 91,033.37
  5. Step 5: Solve for x
    x = 91,033.37/285.06
  6. Step 6: Final answer
    x = 319.35

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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.