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Finding the Fourth Proportional to 376.97, 564.77 and 278.39

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Solution

The fourth proportional to 376.97, 564.77 and 278.39 is: 417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.97 : 564.77 = 278.39 : x
  2. Step 2: Convert to fraction form
    376.97/564.77 = 278.39/x
  3. Step 3: Cross multiply
    376.97x = 564.77 × 278.39
  4. Step 4: Simplify right side
    376.97x = 157,222.10
  5. Step 5: Solve for x
    x = 157,222.10/376.97
  6. Step 6: Final answer
    x = 417.07

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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.