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Finding the Fourth Proportional to 478.10, 660.35 and 396.29

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Solution

The fourth proportional to 478.10, 660.35 and 396.29 is: 547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.10 : 660.35 = 396.29 : x
  2. Step 2: Convert to fraction form
    478.10/660.35 = 396.29/x
  3. Step 3: Cross multiply
    478.10x = 660.35 × 396.29
  4. Step 4: Simplify right side
    478.10x = 261,692.74
  5. Step 5: Solve for x
    x = 261,692.74/478.10
  6. Step 6: Final answer
    x = 547.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.