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Finding the Fourth Proportional to 304.84, 455.36 and 236.20

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Solution

The fourth proportional to 304.84, 455.36 and 236.20 is: 352.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.84 : 455.36 = 236.20 : x
  2. Step 2: Convert to fraction form
    304.84/455.36 = 236.20/x
  3. Step 3: Cross multiply
    304.84x = 455.36 × 236.20
  4. Step 4: Simplify right side
    304.84x = 107,556.03
  5. Step 5: Solve for x
    x = 107,556.03/304.84
  6. Step 6: Final answer
    x = 352.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.