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Finding the Fourth Proportional to 819.36, 1,229.01 and 203.07

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Solution

The fourth proportional to 819.36, 1,229.01 and 203.07 is: 304.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.36 : 1,229.01 = 203.07 : x
  2. Step 2: Convert to fraction form
    819.36/1,229.01 = 203.07/x
  3. Step 3: Cross multiply
    819.36x = 1,229.01 × 203.07
  4. Step 4: Simplify right side
    819.36x = 249,575.06
  5. Step 5: Solve for x
    x = 249,575.06/819.36
  6. Step 6: Final answer
    x = 304.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.