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Finding the Fourth Proportional to 374.34, 564.23 and 343.56

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Solution

The fourth proportional to 374.34, 564.23 and 343.56 is: 517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.34 : 564.23 = 343.56 : x
  2. Step 2: Convert to fraction form
    374.34/564.23 = 343.56/x
  3. Step 3: Cross multiply
    374.34x = 564.23 × 343.56
  4. Step 4: Simplify right side
    374.34x = 193,845.14
  5. Step 5: Solve for x
    x = 193,845.14/374.34
  6. Step 6: Final answer
    x = 517.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.