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Finding the Fourth Proportional to 302.09, 418.83 and 285.68

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Solution

The fourth proportional to 302.09, 418.83 and 285.68 is: 396.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.09 : 418.83 = 285.68 : x
  2. Step 2: Convert to fraction form
    302.09/418.83 = 285.68/x
  3. Step 3: Cross multiply
    302.09x = 418.83 × 285.68
  4. Step 4: Simplify right side
    302.09x = 119,649.26
  5. Step 5: Solve for x
    x = 119,649.26/302.09
  6. Step 6: Final answer
    x = 396.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.