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Finding the Fourth Proportional to 815.44, 1,223.04 and 238.40

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Solution

The fourth proportional to 815.44, 1,223.04 and 238.40 is: 357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.44 : 1,223.04 = 238.40 : x
  2. Step 2: Convert to fraction form
    815.44/1,223.04 = 238.40/x
  3. Step 3: Cross multiply
    815.44x = 1,223.04 × 238.40
  4. Step 4: Simplify right side
    815.44x = 291,572.74
  5. Step 5: Solve for x
    x = 291,572.74/815.44
  6. Step 6: Final answer
    x = 357.56

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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.