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Finding the Fourth Proportional to 349.79, 521.73 and 295.31

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Solution

The fourth proportional to 349.79, 521.73 and 295.31 is: 440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.79 : 521.73 = 295.31 : x
  2. Step 2: Convert to fraction form
    349.79/521.73 = 295.31/x
  3. Step 3: Cross multiply
    349.79x = 521.73 × 295.31
  4. Step 4: Simplify right side
    349.79x = 154,072.09
  5. Step 5: Solve for x
    x = 154,072.09/349.79
  6. Step 6: Final answer
    x = 440.47

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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.