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Finding the Fourth Proportional to 345.50, 475.39 and 333.53

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Solution

The fourth proportional to 345.50, 475.39 and 333.53 is: 458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.50 : 475.39 = 333.53 : x
  2. Step 2: Convert to fraction form
    345.50/475.39 = 333.53/x
  3. Step 3: Cross multiply
    345.50x = 475.39 × 333.53
  4. Step 4: Simplify right side
    345.50x = 158,556.83
  5. Step 5: Solve for x
    x = 158,556.83/345.50
  6. Step 6: Final answer
    x = 458.92

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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.