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Finding the Fourth Proportional to 380.79, 524.97 and 293.31

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Solution

The fourth proportional to 380.79, 524.97 and 293.31 is: 404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.79 : 524.97 = 293.31 : x
  2. Step 2: Convert to fraction form
    380.79/524.97 = 293.31/x
  3. Step 3: Cross multiply
    380.79x = 524.97 × 293.31
  4. Step 4: Simplify right side
    380.79x = 153,978.95
  5. Step 5: Solve for x
    x = 153,978.95/380.79
  6. Step 6: Final answer
    x = 404.37

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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.