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Finding the Fourth Proportional to 344.97, 519.20 and 258.77

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Solution

The fourth proportional to 344.97, 519.20 and 258.77 is: 389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.97 : 519.20 = 258.77 : x
  2. Step 2: Convert to fraction form
    344.97/519.20 = 258.77/x
  3. Step 3: Cross multiply
    344.97x = 519.20 × 258.77
  4. Step 4: Simplify right side
    344.97x = 134,353.38
  5. Step 5: Solve for x
    x = 134,353.38/344.97
  6. Step 6: Final answer
    x = 389.46

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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.