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Finding the Fourth Proportional to 285.48, 393.93 and 161.12

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Solution

The fourth proportional to 285.48, 393.93 and 161.12 is: 222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.48 : 393.93 = 161.12 : x
  2. Step 2: Convert to fraction form
    285.48/393.93 = 161.12/x
  3. Step 3: Cross multiply
    285.48x = 393.93 × 161.12
  4. Step 4: Simplify right side
    285.48x = 63,468.03
  5. Step 5: Solve for x
    x = 63,468.03/285.48
  6. Step 6: Final answer
    x = 222.32

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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.