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Finding the Fourth Proportional to 815.42, 1,223.10 and 238.28

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Solution

The fourth proportional to 815.42, 1,223.10 and 238.28 is: 357.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.42 : 1,223.10 = 238.28 : x
  2. Step 2: Convert to fraction form
    815.42/1,223.10 = 238.28/x
  3. Step 3: Cross multiply
    815.42x = 1,223.10 × 238.28
  4. Step 4: Simplify right side
    815.42x = 291,440.27
  5. Step 5: Solve for x
    x = 291,440.27/815.42
  6. Step 6: Final answer
    x = 357.41

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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.