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Finding the Fourth Proportional to 478.16, 660.16 and 321.02

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Solution

The fourth proportional to 478.16, 660.16 and 321.02 is: 443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.16 : 660.16 = 321.02 : x
  2. Step 2: Convert to fraction form
    478.16/660.16 = 321.02/x
  3. Step 3: Cross multiply
    478.16x = 660.16 × 321.02
  4. Step 4: Simplify right side
    478.16x = 211,924.56
  5. Step 5: Solve for x
    x = 211,924.56/478.16
  6. Step 6: Final answer
    x = 443.21

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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.