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Finding the Fourth Proportional to 285.26, 428.00 and 123.06

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Solution

The fourth proportional to 285.26, 428.00 and 123.06 is: 184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.26 : 428.00 = 123.06 : x
  2. Step 2: Convert to fraction form
    285.26/428.00 = 123.06/x
  3. Step 3: Cross multiply
    285.26x = 428.00 × 123.06
  4. Step 4: Simplify right side
    285.26x = 52,669.06
  5. Step 5: Solve for x
    x = 52,669.06/285.26
  6. Step 6: Final answer
    x = 184.63

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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.