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Finding the Fourth Proportional to 356.71, 531.41 and 343.65

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Solution

The fourth proportional to 356.71, 531.41 and 343.65 is: 511.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.71 : 531.41 = 343.65 : x
  2. Step 2: Convert to fraction form
    356.71/531.41 = 343.65/x
  3. Step 3: Cross multiply
    356.71x = 531.41 × 343.65
  4. Step 4: Simplify right side
    356.71x = 182,619.05
  5. Step 5: Solve for x
    x = 182,619.05/356.71
  6. Step 6: Final answer
    x = 511.95

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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.