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Finding the Fourth Proportional to 344.08, 513.05 and 305.92

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Solution

The fourth proportional to 344.08, 513.05 and 305.92 is: 456.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.08 : 513.05 = 305.92 : x
  2. Step 2: Convert to fraction form
    344.08/513.05 = 305.92/x
  3. Step 3: Cross multiply
    344.08x = 513.05 × 305.92
  4. Step 4: Simplify right side
    344.08x = 156,952.26
  5. Step 5: Solve for x
    x = 156,952.26/344.08
  6. Step 6: Final answer
    x = 456.15

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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.