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Finding the Fourth Proportional to 285.81, 425.73 and 282.03

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Solution

The fourth proportional to 285.81, 425.73 and 282.03 is: 420.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.81 : 425.73 = 282.03 : x
  2. Step 2: Convert to fraction form
    285.81/425.73 = 282.03/x
  3. Step 3: Cross multiply
    285.81x = 425.73 × 282.03
  4. Step 4: Simplify right side
    285.81x = 120,067.22
  5. Step 5: Solve for x
    x = 120,067.22/285.81
  6. Step 6: Final answer
    x = 420.09

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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.