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Finding the Fourth Proportional to 344.90, 519.71 and 285.36

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Solution

The fourth proportional to 344.90, 519.71 and 285.36 is: 429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.90 : 519.71 = 285.36 : x
  2. Step 2: Convert to fraction form
    344.90/519.71 = 285.36/x
  3. Step 3: Cross multiply
    344.90x = 519.71 × 285.36
  4. Step 4: Simplify right side
    344.90x = 148,304.45
  5. Step 5: Solve for x
    x = 148,304.45/344.90
  6. Step 6: Final answer
    x = 429.99

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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.