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Finding the Fourth Proportional to 285.89, 427.24 and 212.93

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Solution

The fourth proportional to 285.89, 427.24 and 212.93 is: 318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.89 : 427.24 = 212.93 : x
  2. Step 2: Convert to fraction form
    285.89/427.24 = 212.93/x
  3. Step 3: Cross multiply
    285.89x = 427.24 × 212.93
  4. Step 4: Simplify right side
    285.89x = 90,972.21
  5. Step 5: Solve for x
    x = 90,972.21/285.89
  6. Step 6: Final answer
    x = 318.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.