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Finding the Fourth Proportional to 344.83, 519.62 and 285.30

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Solution

The fourth proportional to 344.83, 519.62 and 285.30 is: 429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.83 : 519.62 = 285.30 : x
  2. Step 2: Convert to fraction form
    344.83/519.62 = 285.30/x
  3. Step 3: Cross multiply
    344.83x = 519.62 × 285.30
  4. Step 4: Simplify right side
    344.83x = 148,247.59
  5. Step 5: Solve for x
    x = 148,247.59/344.83
  6. Step 6: Final answer
    x = 429.91

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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.