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Finding the Fourth Proportional to 344.40, 513.62 and 313.62

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Solution

The fourth proportional to 344.40, 513.62 and 313.62 is: 467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.40 : 513.62 = 313.62 : x
  2. Step 2: Convert to fraction form
    344.40/513.62 = 313.62/x
  3. Step 3: Cross multiply
    344.40x = 513.62 × 313.62
  4. Step 4: Simplify right side
    344.40x = 161,079.94
  5. Step 5: Solve for x
    x = 161,079.94/344.40
  6. Step 6: Final answer
    x = 467.71

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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.