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Finding the Fourth Proportional to 335.04, 461.76 and 321.60

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Solution

The fourth proportional to 335.04, 461.76 and 321.60 is: 443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.04 : 461.76 = 321.60 : x
  2. Step 2: Convert to fraction form
    335.04/461.76 = 321.60/x
  3. Step 3: Cross multiply
    335.04x = 461.76 × 321.60
  4. Step 4: Simplify right side
    335.04x = 148,502.02
  5. Step 5: Solve for x
    x = 148,502.02/335.04
  6. Step 6: Final answer
    x = 443.24

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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.