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Finding the Fourth Proportional to 401.68, 554.88 and 328.24

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Solution

The fourth proportional to 401.68, 554.88 and 328.24 is: 453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.68 : 554.88 = 328.24 : x
  2. Step 2: Convert to fraction form
    401.68/554.88 = 328.24/x
  3. Step 3: Cross multiply
    401.68x = 554.88 × 328.24
  4. Step 4: Simplify right side
    401.68x = 182,133.81
  5. Step 5: Solve for x
    x = 182,133.81/401.68
  6. Step 6: Final answer
    x = 453.43

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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.