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Finding the Fourth Proportional to 285.36, 393.78 and 161.02

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Solution

The fourth proportional to 285.36, 393.78 and 161.02 is: 222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.36 : 393.78 = 161.02 : x
  2. Step 2: Convert to fraction form
    285.36/393.78 = 161.02/x
  3. Step 3: Cross multiply
    285.36x = 393.78 × 161.02
  4. Step 4: Simplify right side
    285.36x = 63,406.46
  5. Step 5: Solve for x
    x = 63,406.46/285.36
  6. Step 6: Final answer
    x = 222.20

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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.