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Finding the Fourth Proportional to 375.57, 559.91 and 346.41

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Solution

The fourth proportional to 375.57, 559.91 and 346.41 is: 516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.57 : 559.91 = 346.41 : x
  2. Step 2: Convert to fraction form
    375.57/559.91 = 346.41/x
  3. Step 3: Cross multiply
    375.57x = 559.91 × 346.41
  4. Step 4: Simplify right side
    375.57x = 193,959.29
  5. Step 5: Solve for x
    x = 193,959.29/375.57
  6. Step 6: Final answer
    x = 516.44

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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.