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Finding the Fourth Proportional to 343.84, 472.04 and 304.96

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Solution

The fourth proportional to 343.84, 472.04 and 304.96 is: 418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.84 : 472.04 = 304.96 : x
  2. Step 2: Convert to fraction form
    343.84/472.04 = 304.96/x
  3. Step 3: Cross multiply
    343.84x = 472.04 × 304.96
  4. Step 4: Simplify right side
    343.84x = 143,953.32
  5. Step 5: Solve for x
    x = 143,953.32/343.84
  6. Step 6: Final answer
    x = 418.66

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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.