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Finding the Fourth Proportional to 286.54, 392.59 and 282.94

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Solution

The fourth proportional to 286.54, 392.59 and 282.94 is: 387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.54 : 392.59 = 282.94 : x
  2. Step 2: Convert to fraction form
    286.54/392.59 = 282.94/x
  3. Step 3: Cross multiply
    286.54x = 392.59 × 282.94
  4. Step 4: Simplify right side
    286.54x = 111,079.41
  5. Step 5: Solve for x
    x = 111,079.41/286.54
  6. Step 6: Final answer
    x = 387.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.