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Finding the Fourth Proportional to 347.81, 476.83 and 341.68

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Solution

The fourth proportional to 347.81, 476.83 and 341.68 is: 468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.81 : 476.83 = 341.68 : x
  2. Step 2: Convert to fraction form
    347.81/476.83 = 341.68/x
  3. Step 3: Cross multiply
    347.81x = 476.83 × 341.68
  4. Step 4: Simplify right side
    347.81x = 162,923.27
  5. Step 5: Solve for x
    x = 162,923.27/347.81
  6. Step 6: Final answer
    x = 468.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.