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Finding the Fourth Proportional to 344.65, 519.33 and 285.11

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Solution

The fourth proportional to 344.65, 519.33 and 285.11 is: 429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.65 : 519.33 = 285.11 : x
  2. Step 2: Convert to fraction form
    344.65/519.33 = 285.11/x
  3. Step 3: Cross multiply
    344.65x = 519.33 × 285.11
  4. Step 4: Simplify right side
    344.65x = 148,066.18
  5. Step 5: Solve for x
    x = 148,066.18/344.65
  6. Step 6: Final answer
    x = 429.61

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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.