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Finding the Fourth Proportional to 346.29, 519.36 and 127.05

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Solution

The fourth proportional to 346.29, 519.36 and 127.05 is: 190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.29 : 519.36 = 127.05 : x
  2. Step 2: Convert to fraction form
    346.29/519.36 = 127.05/x
  3. Step 3: Cross multiply
    346.29x = 519.36 × 127.05
  4. Step 4: Simplify right side
    346.29x = 65,982.98
  5. Step 5: Solve for x
    x = 65,982.98/346.29
  6. Step 6: Final answer
    x = 190.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.