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Finding the Fourth Proportional to 375.76, 564.72 and 278.56

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Solution

The fourth proportional to 375.76, 564.72 and 278.56 is: 418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.76 : 564.72 = 278.56 : x
  2. Step 2: Convert to fraction form
    375.76/564.72 = 278.56/x
  3. Step 3: Cross multiply
    375.76x = 564.72 × 278.56
  4. Step 4: Simplify right side
    375.76x = 157,308.40
  5. Step 5: Solve for x
    x = 157,308.40/375.76
  6. Step 6: Final answer
    x = 418.64

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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.