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Finding the Fourth Proportional to 345.20, 476.40 and 189.96

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Solution

The fourth proportional to 345.20, 476.40 and 189.96 is: 262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.20 : 476.40 = 189.96 : x
  2. Step 2: Convert to fraction form
    345.20/476.40 = 189.96/x
  3. Step 3: Cross multiply
    345.20x = 476.40 × 189.96
  4. Step 4: Simplify right side
    345.20x = 90,496.94
  5. Step 5: Solve for x
    x = 90,496.94/345.20
  6. Step 6: Final answer
    x = 262.16

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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.