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Finding the Fourth Proportional to 401.95, 552.17 and 328.04

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Solution

The fourth proportional to 401.95, 552.17 and 328.04 is: 450.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.95 : 552.17 = 328.04 : x
  2. Step 2: Convert to fraction form
    401.95/552.17 = 328.04/x
  3. Step 3: Cross multiply
    401.95x = 552.17 × 328.04
  4. Step 4: Simplify right side
    401.95x = 181,133.85
  5. Step 5: Solve for x
    x = 181,133.85/401.95
  6. Step 6: Final answer
    x = 450.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.