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Finding the Fourth Proportional to 302.33, 451.78 and 243.81

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Solution

The fourth proportional to 302.33, 451.78 and 243.81 is: 364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.33 : 451.78 = 243.81 : x
  2. Step 2: Convert to fraction form
    302.33/451.78 = 243.81/x
  3. Step 3: Cross multiply
    302.33x = 451.78 × 243.81
  4. Step 4: Simplify right side
    302.33x = 110,147.87
  5. Step 5: Solve for x
    x = 110,147.87/302.33
  6. Step 6: Final answer
    x = 364.33

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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.