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Finding the Fourth Proportional to 301.81, 415.88 and 285.47

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Solution

The fourth proportional to 301.81, 415.88 and 285.47 is: 393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.81 : 415.88 = 285.47 : x
  2. Step 2: Convert to fraction form
    301.81/415.88 = 285.47/x
  3. Step 3: Cross multiply
    301.81x = 415.88 × 285.47
  4. Step 4: Simplify right side
    301.81x = 118,724.33
  5. Step 5: Solve for x
    x = 118,724.33/301.81
  6. Step 6: Final answer
    x = 393.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.