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Finding the Fourth Proportional to 386.28, 531.80 and 334.52

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Solution

The fourth proportional to 386.28, 531.80 and 334.52 is: 460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.28 : 531.80 = 334.52 : x
  2. Step 2: Convert to fraction form
    386.28/531.80 = 334.52/x
  3. Step 3: Cross multiply
    386.28x = 531.80 × 334.52
  4. Step 4: Simplify right side
    386.28x = 177,897.74
  5. Step 5: Solve for x
    x = 177,897.74/386.28
  6. Step 6: Final answer
    x = 460.54

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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.