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Finding the Fourth Proportional to 344.34, 518.87 and 284.81

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Solution

The fourth proportional to 344.34, 518.87 and 284.81 is: 429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.34 : 518.87 = 284.81 : x
  2. Step 2: Convert to fraction form
    344.34/518.87 = 284.81/x
  3. Step 3: Cross multiply
    344.34x = 518.87 × 284.81
  4. Step 4: Simplify right side
    344.34x = 147,775.35
  5. Step 5: Solve for x
    x = 147,775.35/344.34
  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.