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Finding the Fourth Proportional to 285.16, 427.53 and 111.67

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Solution

The fourth proportional to 285.16, 427.53 and 111.67 is: 167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.16 : 427.53 = 111.67 : x
  2. Step 2: Convert to fraction form
    285.16/427.53 = 111.67/x
  3. Step 3: Cross multiply
    285.16x = 427.53 × 111.67
  4. Step 4: Simplify right side
    285.16x = 47,742.28
  5. Step 5: Solve for x
    x = 47,742.28/285.16
  6. Step 6: Final answer
    x = 167.42

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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.