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Finding the Fourth Proportional to 344.12, 513.95 and 292.21

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Solution

The fourth proportional to 344.12, 513.95 and 292.21 is: 436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.12 : 513.95 = 292.21 : x
  2. Step 2: Convert to fraction form
    344.12/513.95 = 292.21/x
  3. Step 3: Cross multiply
    344.12x = 513.95 × 292.21
  4. Step 4: Simplify right side
    344.12x = 150,178.58
  5. Step 5: Solve for x
    x = 150,178.58/344.12
  6. Step 6: Final answer
    x = 436.42

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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.