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Finding the Fourth Proportional to 815.63, 1,223.56 and 238.50

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Solution

The fourth proportional to 815.63, 1,223.56 and 238.50 is: 357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.63 : 1,223.56 = 238.50 : x
  2. Step 2: Convert to fraction form
    815.63/1,223.56 = 238.50/x
  3. Step 3: Cross multiply
    815.63x = 1,223.56 × 238.50
  4. Step 4: Simplify right side
    815.63x = 291,819.06
  5. Step 5: Solve for x
    x = 291,819.06/815.63
  6. Step 6: Final answer
    x = 357.78

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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.