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Finding the Fourth Proportional to 437.08, 655.01 and 328.80

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Solution

The fourth proportional to 437.08, 655.01 and 328.80 is: 492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.08 : 655.01 = 328.80 : x
  2. Step 2: Convert to fraction form
    437.08/655.01 = 328.80/x
  3. Step 3: Cross multiply
    437.08x = 655.01 × 328.80
  4. Step 4: Simplify right side
    437.08x = 215,367.29
  5. Step 5: Solve for x
    x = 215,367.29/437.08
  6. Step 6: Final answer
    x = 492.74

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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.