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Finding the Fourth Proportional to 343.79, 473.96 and 245.37

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Solution

The fourth proportional to 343.79, 473.96 and 245.37 is: 338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.79 : 473.96 = 245.37 : x
  2. Step 2: Convert to fraction form
    343.79/473.96 = 245.37/x
  3. Step 3: Cross multiply
    343.79x = 473.96 × 245.37
  4. Step 4: Simplify right side
    343.79x = 116,294.34
  5. Step 5: Solve for x
    x = 116,294.34/343.79
  6. Step 6: Final answer
    x = 338.28

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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.