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Finding the Fourth Proportional to 363.34, 541.49 and 351.64

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Solution

The fourth proportional to 363.34, 541.49 and 351.64 is: 524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.34 : 541.49 = 351.64 : x
  2. Step 2: Convert to fraction form
    363.34/541.49 = 351.64/x
  3. Step 3: Cross multiply
    363.34x = 541.49 × 351.64
  4. Step 4: Simplify right side
    363.34x = 190,409.54
  5. Step 5: Solve for x
    x = 190,409.54/363.34
  6. Step 6: Final answer
    x = 524.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.