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Finding the Fourth Proportional to 347.66, 518.44 and 295.42

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Solution

The fourth proportional to 347.66, 518.44 and 295.42 is: 440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.66 : 518.44 = 295.42 : x
  2. Step 2: Convert to fraction form
    347.66/518.44 = 295.42/x
  3. Step 3: Cross multiply
    347.66x = 518.44 × 295.42
  4. Step 4: Simplify right side
    347.66x = 153,157.54
  5. Step 5: Solve for x
    x = 153,157.54/347.66
  6. Step 6: Final answer
    x = 440.54

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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.