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Finding the Fourth Proportional to 343.71, 473.45 and 321.03

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Solution

The fourth proportional to 343.71, 473.45 and 321.03 is: 442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.71 : 473.45 = 321.03 : x
  2. Step 2: Convert to fraction form
    343.71/473.45 = 321.03/x
  3. Step 3: Cross multiply
    343.71x = 473.45 × 321.03
  4. Step 4: Simplify right side
    343.71x = 151,990.05
  5. Step 5: Solve for x
    x = 151,990.05/343.71
  6. Step 6: Final answer
    x = 442.20

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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.