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Finding the Fourth Proportional to 375.72, 564.06 and 274.20

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Solution

The fourth proportional to 375.72, 564.06 and 274.20 is: 411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.72 : 564.06 = 274.20 : x
  2. Step 2: Convert to fraction form
    375.72/564.06 = 274.20/x
  3. Step 3: Cross multiply
    375.72x = 564.06 × 274.20
  4. Step 4: Simplify right side
    375.72x = 154,665.25
  5. Step 5: Solve for x
    x = 154,665.25/375.72
  6. Step 6: Final answer
    x = 411.65

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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.