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Finding the Fourth Proportional to 285.99, 427.25 and 182.45

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Solution

The fourth proportional to 285.99, 427.25 and 182.45 is: 272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.99 : 427.25 = 182.45 : x
  2. Step 2: Convert to fraction form
    285.99/427.25 = 182.45/x
  3. Step 3: Cross multiply
    285.99x = 427.25 × 182.45
  4. Step 4: Simplify right side
    285.99x = 77,950.85
  5. Step 5: Solve for x
    x = 77,950.85/285.99
  6. Step 6: Final answer
    x = 272.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.