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Finding the Fourth Proportional to 345.23, 518.10 and 215.42

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Solution

The fourth proportional to 345.23, 518.10 and 215.42 is: 323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.23 : 518.10 = 215.42 : x
  2. Step 2: Convert to fraction form
    345.23/518.10 = 215.42/x
  3. Step 3: Cross multiply
    345.23x = 518.10 × 215.42
  4. Step 4: Simplify right side
    345.23x = 111,608.02
  5. Step 5: Solve for x
    x = 111,608.02/345.23
  6. Step 6: Final answer
    x = 323.29

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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.