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Finding the Fourth Proportional to 287.44, 398.64 and 269.62

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Solution

The fourth proportional to 287.44, 398.64 and 269.62 is: 373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.44 : 398.64 = 269.62 : x
  2. Step 2: Convert to fraction form
    287.44/398.64 = 269.62/x
  3. Step 3: Cross multiply
    287.44x = 398.64 × 269.62
  4. Step 4: Simplify right side
    287.44x = 107,481.32
  5. Step 5: Solve for x
    x = 107,481.32/287.44
  6. Step 6: Final answer
    x = 373.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.