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Finding the Fourth Proportional to 343.94, 473.22 and 302.42

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Solution

The fourth proportional to 343.94, 473.22 and 302.42 is: 416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.94 : 473.22 = 302.42 : x
  2. Step 2: Convert to fraction form
    343.94/473.22 = 302.42/x
  3. Step 3: Cross multiply
    343.94x = 473.22 × 302.42
  4. Step 4: Simplify right side
    343.94x = 143,112.38
  5. Step 5: Solve for x
    x = 143,112.38/343.94
  6. Step 6: Final answer
    x = 416.10

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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.