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Finding the Fourth Proportional to 376.18, 560.34 and 362.80

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Solution

The fourth proportional to 376.18, 560.34 and 362.80 is: 540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.18 : 560.34 = 362.80 : x
  2. Step 2: Convert to fraction form
    376.18/560.34 = 362.80/x
  3. Step 3: Cross multiply
    376.18x = 560.34 × 362.80
  4. Step 4: Simplify right side
    376.18x = 203,291.35
  5. Step 5: Solve for x
    x = 203,291.35/376.18
  6. Step 6: Final answer
    x = 540.41

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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.