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Finding the Fourth Proportional to 344.62, 512.24 and 335.53

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Solution

The fourth proportional to 344.62, 512.24 and 335.53 is: 498.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.62 : 512.24 = 335.53 : x
  2. Step 2: Convert to fraction form
    344.62/512.24 = 335.53/x
  3. Step 3: Cross multiply
    344.62x = 512.24 × 335.53
  4. Step 4: Simplify right side
    344.62x = 171,871.89
  5. Step 5: Solve for x
    x = 171,871.89/344.62
  6. Step 6: Final answer
    x = 498.73

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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.