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Finding the Fourth Proportional to 350.36, 484.11 and 288.14

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Solution

The fourth proportional to 350.36, 484.11 and 288.14 is: 398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.36 : 484.11 = 288.14 : x
  2. Step 2: Convert to fraction form
    350.36/484.11 = 288.14/x
  3. Step 3: Cross multiply
    350.36x = 484.11 × 288.14
  4. Step 4: Simplify right side
    350.36x = 139,491.22
  5. Step 5: Solve for x
    x = 139,491.22/350.36
  6. Step 6: Final answer
    x = 398.14

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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.