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Finding the Fourth Proportional to 343.76, 477.54 and 340.43

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Solution

The fourth proportional to 343.76, 477.54 and 340.43 is: 472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.76 : 477.54 = 340.43 : x
  2. Step 2: Convert to fraction form
    343.76/477.54 = 340.43/x
  3. Step 3: Cross multiply
    343.76x = 477.54 × 340.43
  4. Step 4: Simplify right side
    343.76x = 162,566.55
  5. Step 5: Solve for x
    x = 162,566.55/343.76
  6. Step 6: Final answer
    x = 472.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.