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Finding the Fourth Proportional to 343.05, 473.94 and 256.83

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Solution

The fourth proportional to 343.05, 473.94 and 256.83 is: 354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.05 : 473.94 = 256.83 : x
  2. Step 2: Convert to fraction form
    343.05/473.94 = 256.83/x
  3. Step 3: Cross multiply
    343.05x = 473.94 × 256.83
  4. Step 4: Simplify right side
    343.05x = 121,722.01
  5. Step 5: Solve for x
    x = 121,722.01/343.05
  6. Step 6: Final answer
    x = 354.82

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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.