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Finding the Fourth Proportional to 285.35, 427.34 and 161.75

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Solution

The fourth proportional to 285.35, 427.34 and 161.75 is: 242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.35 : 427.34 = 161.75 : x
  2. Step 2: Convert to fraction form
    285.35/427.34 = 161.75/x
  3. Step 3: Cross multiply
    285.35x = 427.34 × 161.75
  4. Step 4: Simplify right side
    285.35x = 69,123.72
  5. Step 5: Solve for x
    x = 69,123.72/285.35
  6. Step 6: Final answer
    x = 242.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.