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Finding the Fourth Proportional to 344.32, 513.28 and 343.04

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Solution

The fourth proportional to 344.32, 513.28 and 343.04 is: 511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.32 : 513.28 = 343.04 : x
  2. Step 2: Convert to fraction form
    344.32/513.28 = 343.04/x
  3. Step 3: Cross multiply
    344.32x = 513.28 × 343.04
  4. Step 4: Simplify right side
    344.32x = 176,075.57
  5. Step 5: Solve for x
    x = 176,075.57/344.32
  6. Step 6: Final answer
    x = 511.37

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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.