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Finding the Fourth Proportional to 285.49, 426.50 and 181.95

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Solution

The fourth proportional to 285.49, 426.50 and 181.95 is: 271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.49 : 426.50 = 181.95 : x
  2. Step 2: Convert to fraction form
    285.49/426.50 = 181.95/x
  3. Step 3: Cross multiply
    285.49x = 426.50 × 181.95
  4. Step 4: Simplify right side
    285.49x = 77,601.68
  5. Step 5: Solve for x
    x = 77,601.68/285.49
  6. Step 6: Final answer
    x = 271.82

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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.