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Finding the Fourth Proportional to 285.15, 427.25 and 120.48

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Solution

The fourth proportional to 285.15, 427.25 and 120.48 is: 180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.15 : 427.25 = 120.48 : x
  2. Step 2: Convert to fraction form
    285.15/427.25 = 120.48/x
  3. Step 3: Cross multiply
    285.15x = 427.25 × 120.48
  4. Step 4: Simplify right side
    285.15x = 51,474.78
  5. Step 5: Solve for x
    x = 51,474.78/285.15
  6. Step 6: Final answer
    x = 180.52

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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.