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Finding the Fourth Proportional to 397.54, 548.40 and 286.84

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Solution

The fourth proportional to 397.54, 548.40 and 286.84 is: 395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.54 : 548.40 = 286.84 : x
  2. Step 2: Convert to fraction form
    397.54/548.40 = 286.84/x
  3. Step 3: Cross multiply
    397.54x = 548.40 × 286.84
  4. Step 4: Simplify right side
    397.54x = 157,303.06
  5. Step 5: Solve for x
    x = 157,303.06/397.54
  6. Step 6: Final answer
    x = 395.69

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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.