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Finding the Fourth Proportional to 343.34, 473.78 and 193.98

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Solution

The fourth proportional to 343.34, 473.78 and 193.98 is: 267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.34 : 473.78 = 193.98 : x
  2. Step 2: Convert to fraction form
    343.34/473.78 = 193.98/x
  3. Step 3: Cross multiply
    343.34x = 473.78 × 193.98
  4. Step 4: Simplify right side
    343.34x = 91,903.84
  5. Step 5: Solve for x
    x = 91,903.84/343.34
  6. Step 6: Final answer
    x = 267.68

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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.