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Finding the Fourth Proportional to 345.12, 475.97 and 245.34

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Solution

The fourth proportional to 345.12, 475.97 and 245.34 is: 338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.12 : 475.97 = 245.34 : x
  2. Step 2: Convert to fraction form
    345.12/475.97 = 245.34/x
  3. Step 3: Cross multiply
    345.12x = 475.97 × 245.34
  4. Step 4: Simplify right side
    345.12x = 116,773.25
  5. Step 5: Solve for x
    x = 116,773.25/345.12
  6. Step 6: Final answer
    x = 338.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.