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Finding the Fourth Proportional to 285.08, 392.54 and 222.84

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Solution

The fourth proportional to 285.08, 392.54 and 222.84 is: 306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.08 : 392.54 = 222.84 : x
  2. Step 2: Convert to fraction form
    285.08/392.54 = 222.84/x
  3. Step 3: Cross multiply
    285.08x = 392.54 × 222.84
  4. Step 4: Simplify right side
    285.08x = 87,472.50
  5. Step 5: Solve for x
    x = 87,472.50/285.08
  6. Step 6: Final answer
    x = 306.84

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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.