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Finding the Fourth Proportional to 345.66, 477.01 and 190.41

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Solution

The fourth proportional to 345.66, 477.01 and 190.41 is: 262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.66 : 477.01 = 190.41 : x
  2. Step 2: Convert to fraction form
    345.66/477.01 = 190.41/x
  3. Step 3: Cross multiply
    345.66x = 477.01 × 190.41
  4. Step 4: Simplify right side
    345.66x = 90,824.85
  5. Step 5: Solve for x
    x = 90,824.85/345.66
  6. Step 6: Final answer
    x = 262.76

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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.