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Finding the Fourth Proportional to 378.07, 521.24 and 304.56

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Solution

The fourth proportional to 378.07, 521.24 and 304.56 is: 419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.07 : 521.24 = 304.56 : x
  2. Step 2: Convert to fraction form
    378.07/521.24 = 304.56/x
  3. Step 3: Cross multiply
    378.07x = 521.24 × 304.56
  4. Step 4: Simplify right side
    378.07x = 158,747.33
  5. Step 5: Solve for x
    x = 158,747.33/378.07
  6. Step 6: Final answer
    x = 419.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.