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Finding the Fourth Proportional to 376.57, 561.40 and 347.41

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Solution

The fourth proportional to 376.57, 561.40 and 347.41 is: 517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.57 : 561.40 = 347.41 : x
  2. Step 2: Convert to fraction form
    376.57/561.40 = 347.41/x
  3. Step 3: Cross multiply
    376.57x = 561.40 × 347.41
  4. Step 4: Simplify right side
    376.57x = 195,035.97
  5. Step 5: Solve for x
    x = 195,035.97/376.57
  6. Step 6: Final answer
    x = 517.93

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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.