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Finding the Fourth Proportional to 351.44, 484.54 and 288.19

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Solution

The fourth proportional to 351.44, 484.54 and 288.19 is: 397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.44 : 484.54 = 288.19 : x
  2. Step 2: Convert to fraction form
    351.44/484.54 = 288.19/x
  3. Step 3: Cross multiply
    351.44x = 484.54 × 288.19
  4. Step 4: Simplify right side
    351.44x = 139,639.47
  5. Step 5: Solve for x
    x = 139,639.47/351.44
  6. Step 6: Final answer
    x = 397.33

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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.