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Finding the Fourth Proportional to 344.06, 512.40 and 342.09

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Solution

The fourth proportional to 344.06, 512.40 and 342.09 is: 509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.06 : 512.40 = 342.09 : x
  2. Step 2: Convert to fraction form
    344.06/512.40 = 342.09/x
  3. Step 3: Cross multiply
    344.06x = 512.40 × 342.09
  4. Step 4: Simplify right side
    344.06x = 175,285.08
  5. Step 5: Solve for x
    x = 175,285.08/344.06
  6. Step 6: Final answer
    x = 509.46

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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.