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Finding the Fourth Proportional to 343.71, 471.71 and 307.94

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Solution

The fourth proportional to 343.71, 471.71 and 307.94 is: 422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.71 : 471.71 = 307.94 : x
  2. Step 2: Convert to fraction form
    343.71/471.71 = 307.94/x
  3. Step 3: Cross multiply
    343.71x = 471.71 × 307.94
  4. Step 4: Simplify right side
    343.71x = 145,256.79
  5. Step 5: Solve for x
    x = 145,256.79/343.71
  6. Step 6: Final answer
    x = 422.61

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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.