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Finding the Fourth Proportional to 345.67, 518.60 and 140.23

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Solution

The fourth proportional to 345.67, 518.60 and 140.23 is: 210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.67 : 518.60 = 140.23 : x
  2. Step 2: Convert to fraction form
    345.67/518.60 = 140.23/x
  3. Step 3: Cross multiply
    345.67x = 518.60 × 140.23
  4. Step 4: Simplify right side
    345.67x = 72,724.28
  5. Step 5: Solve for x
    x = 72,724.28/345.67
  6. Step 6: Final answer
    x = 210.39

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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.