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Finding the Fourth Proportional to 442.08, 663.60 and 320.40

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Solution

The fourth proportional to 442.08, 663.60 and 320.40 is: 480.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.08 : 663.60 = 320.40 : x
  2. Step 2: Convert to fraction form
    442.08/663.60 = 320.40/x
  3. Step 3: Cross multiply
    442.08x = 663.60 × 320.40
  4. Step 4: Simplify right side
    442.08x = 212,617.44
  5. Step 5: Solve for x
    x = 212,617.44/442.08
  6. Step 6: Final answer
    x = 480.95

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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.