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Finding the Fourth Proportional to 345.69, 475.04 and 287.37

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Solution

The fourth proportional to 345.69, 475.04 and 287.37 is: 394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.69 : 475.04 = 287.37 : x
  2. Step 2: Convert to fraction form
    345.69/475.04 = 287.37/x
  3. Step 3: Cross multiply
    345.69x = 475.04 × 287.37
  4. Step 4: Simplify right side
    345.69x = 136,512.96
  5. Step 5: Solve for x
    x = 136,512.96/345.69
  6. Step 6: Final answer
    x = 394.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.