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Finding the Fourth Proportional to 344.36, 518.87 and 284.82

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Solution

The fourth proportional to 344.36, 518.87 and 284.82 is: 429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.36 : 518.87 = 284.82 : x
  2. Step 2: Convert to fraction form
    344.36/518.87 = 284.82/x
  3. Step 3: Cross multiply
    344.36x = 518.87 × 284.82
  4. Step 4: Simplify right side
    344.36x = 147,783.13
  5. Step 5: Solve for x
    x = 147,783.13/344.36
  6. Step 6: Final answer
    x = 429.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.