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Finding the Fourth Proportional to 450.24, 672.88 and 328.80

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Solution

The fourth proportional to 450.24, 672.88 and 328.80 is: 491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.24 : 672.88 = 328.80 : x
  2. Step 2: Convert to fraction form
    450.24/672.88 = 328.80/x
  3. Step 3: Cross multiply
    450.24x = 672.88 × 328.80
  4. Step 4: Simplify right side
    450.24x = 221,242.94
  5. Step 5: Solve for x
    x = 221,242.94/450.24
  6. Step 6: Final answer
    x = 491.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.