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Finding the Fourth Proportional to 285.84, 394.40 and 169.40

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Solution

The fourth proportional to 285.84, 394.40 and 169.40 is: 233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.84 : 394.40 = 169.40 : x
  2. Step 2: Convert to fraction form
    285.84/394.40 = 169.40/x
  3. Step 3: Cross multiply
    285.84x = 394.40 × 169.40
  4. Step 4: Simplify right side
    285.84x = 66,811.36
  5. Step 5: Solve for x
    x = 66,811.36/285.84
  6. Step 6: Final answer
    x = 233.74

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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.