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Finding the Fourth Proportional to 375.31, 559.66 and 349.35

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Solution

The fourth proportional to 375.31, 559.66 and 349.35 is: 520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.31 : 559.66 = 349.35 : x
  2. Step 2: Convert to fraction form
    375.31/559.66 = 349.35/x
  3. Step 3: Cross multiply
    375.31x = 559.66 × 349.35
  4. Step 4: Simplify right side
    375.31x = 195,512.68
  5. Step 5: Solve for x
    x = 195,512.68/375.31
  6. Step 6: Final answer
    x = 520.94

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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.