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Finding the Fourth Proportional to 399.80, 595.69 and 378.88

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Solution

The fourth proportional to 399.80, 595.69 and 378.88 is: 564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.80 : 595.69 = 378.88 : x
  2. Step 2: Convert to fraction form
    399.80/595.69 = 378.88/x
  3. Step 3: Cross multiply
    399.80x = 595.69 × 378.88
  4. Step 4: Simplify right side
    399.80x = 225,692.59
  5. Step 5: Solve for x
    x = 225,692.59/399.80
  6. Step 6: Final answer
    x = 564.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.