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Finding the Fourth Proportional to 285.22, 392.80 and 222.94

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Solution

The fourth proportional to 285.22, 392.80 and 222.94 is: 307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.22 : 392.80 = 222.94 : x
  2. Step 2: Convert to fraction form
    285.22/392.80 = 222.94/x
  3. Step 3: Cross multiply
    285.22x = 392.80 × 222.94
  4. Step 4: Simplify right side
    285.22x = 87,570.83
  5. Step 5: Solve for x
    x = 87,570.83/285.22
  6. Step 6: Final answer
    x = 307.03

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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.