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Finding the Fourth Proportional to 287.92, 397.28 and 177.44

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Solution

The fourth proportional to 287.92, 397.28 and 177.44 is: 244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.92 : 397.28 = 177.44 : x
  2. Step 2: Convert to fraction form
    287.92/397.28 = 177.44/x
  3. Step 3: Cross multiply
    287.92x = 397.28 × 177.44
  4. Step 4: Simplify right side
    287.92x = 70,493.36
  5. Step 5: Solve for x
    x = 70,493.36/287.92
  6. Step 6: Final answer
    x = 244.84

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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.