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Finding the Fourth Proportional to 344.34, 513.63 and 305.46

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Solution

The fourth proportional to 344.34, 513.63 and 305.46 is: 455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.34 : 513.63 = 305.46 : x
  2. Step 2: Convert to fraction form
    344.34/513.63 = 305.46/x
  3. Step 3: Cross multiply
    344.34x = 513.63 × 305.46
  4. Step 4: Simplify right side
    344.34x = 156,893.42
  5. Step 5: Solve for x
    x = 156,893.42/344.34
  6. Step 6: Final answer
    x = 455.64

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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.