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Finding the Fourth Proportional to 285.35, 393.80 and 161.02

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Solution

The fourth proportional to 285.35, 393.80 and 161.02 is: 222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.35 : 393.80 = 161.02 : x
  2. Step 2: Convert to fraction form
    285.35/393.80 = 161.02/x
  3. Step 3: Cross multiply
    285.35x = 393.80 × 161.02
  4. Step 4: Simplify right side
    285.35x = 63,406.90
  5. Step 5: Solve for x
    x = 63,406.90/285.35
  6. Step 6: Final answer
    x = 222.21

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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.