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Finding the Fourth Proportional to 345.98, 519.11 and 192.01

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Solution

The fourth proportional to 345.98, 519.11 and 192.01 is: 288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.98 : 519.11 = 192.01 : x
  2. Step 2: Convert to fraction form
    345.98/519.11 = 192.01/x
  3. Step 3: Cross multiply
    345.98x = 519.11 × 192.01
  4. Step 4: Simplify right side
    345.98x = 99,674.31
  5. Step 5: Solve for x
    x = 99,674.31/345.98
  6. Step 6: Final answer
    x = 288.09

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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.