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Finding the Fourth Proportional to 293.84, 436.79 and 285.09

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Solution

The fourth proportional to 293.84, 436.79 and 285.09 is: 423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.84 : 436.79 = 285.09 : x
  2. Step 2: Convert to fraction form
    293.84/436.79 = 285.09/x
  3. Step 3: Cross multiply
    293.84x = 436.79 × 285.09
  4. Step 4: Simplify right side
    293.84x = 124,527.22
  5. Step 5: Solve for x
    x = 124,527.22/293.84
  6. Step 6: Final answer
    x = 423.80

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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.