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Finding the Fourth Proportional to 343.40, 473.72 and 318.69

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Solution

The fourth proportional to 343.40, 473.72 and 318.69 is: 439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.40 : 473.72 = 318.69 : x
  2. Step 2: Convert to fraction form
    343.40/473.72 = 318.69/x
  3. Step 3: Cross multiply
    343.40x = 473.72 × 318.69
  4. Step 4: Simplify right side
    343.40x = 150,968.23
  5. Step 5: Solve for x
    x = 150,968.23/343.40
  6. Step 6: Final answer
    x = 439.63

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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.