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Finding the Fourth Proportional to 376.12, 564.56 and 278.28

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Solution

The fourth proportional to 376.12, 564.56 and 278.28 is: 417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.12 : 564.56 = 278.28 : x
  2. Step 2: Convert to fraction form
    376.12/564.56 = 278.28/x
  3. Step 3: Cross multiply
    376.12x = 564.56 × 278.28
  4. Step 4: Simplify right side
    376.12x = 157,105.76
  5. Step 5: Solve for x
    x = 157,105.76/376.12
  6. Step 6: Final answer
    x = 417.70

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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.