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Finding the Fourth Proportional to 285.34, 393.79 and 161.00

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Solution

The fourth proportional to 285.34, 393.79 and 161.00 is: 222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.34 : 393.79 = 161.00 : x
  2. Step 2: Convert to fraction form
    285.34/393.79 = 161.00/x
  3. Step 3: Cross multiply
    285.34x = 393.79 × 161.00
  4. Step 4: Simplify right side
    285.34x = 63,400.77
  5. Step 5: Solve for x
    x = 63,400.77/285.34
  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.