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Finding the Fourth Proportional to 343.65, 512.98 and 318.27

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Solution

The fourth proportional to 343.65, 512.98 and 318.27 is: 475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.65 : 512.98 = 318.27 : x
  2. Step 2: Convert to fraction form
    343.65/512.98 = 318.27/x
  3. Step 3: Cross multiply
    343.65x = 512.98 × 318.27
  4. Step 4: Simplify right side
    343.65x = 163,266.14
  5. Step 5: Solve for x
    x = 163,266.14/343.65
  6. Step 6: Final answer
    x = 475.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.