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Finding the Fourth Proportional to 285.33, 425.95 and 254.57

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Solution

The fourth proportional to 285.33, 425.95 and 254.57 is: 380.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.33 : 425.95 = 254.57 : x
  2. Step 2: Convert to fraction form
    285.33/425.95 = 254.57/x
  3. Step 3: Cross multiply
    285.33x = 425.95 × 254.57
  4. Step 4: Simplify right side
    285.33x = 108,434.09
  5. Step 5: Solve for x
    x = 108,434.09/285.33
  6. Step 6: Final answer
    x = 380.03

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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.