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Finding the Fourth Proportional to 373.56, 560.22 and 142.28

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Solution

The fourth proportional to 373.56, 560.22 and 142.28 is: 213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.56 : 560.22 = 142.28 : x
  2. Step 2: Convert to fraction form
    373.56/560.22 = 142.28/x
  3. Step 3: Cross multiply
    373.56x = 560.22 × 142.28
  4. Step 4: Simplify right side
    373.56x = 79,705.30
  5. Step 5: Solve for x
    x = 79,705.30/373.56
  6. Step 6: Final answer
    x = 213.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.