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Finding the Fourth Proportional to 344.81, 513.89 and 341.94

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Solution

The fourth proportional to 344.81, 513.89 and 341.94 is: 509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.81 : 513.89 = 341.94 : x
  2. Step 2: Convert to fraction form
    344.81/513.89 = 341.94/x
  3. Step 3: Cross multiply
    344.81x = 513.89 × 341.94
  4. Step 4: Simplify right side
    344.81x = 175,720.40
  5. Step 5: Solve for x
    x = 175,720.40/344.81
  6. Step 6: Final answer
    x = 509.61

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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.