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Finding the Fourth Proportional to 412.98, 570.15 and 326.04

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Solution

The fourth proportional to 412.98, 570.15 and 326.04 is: 450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.98 : 570.15 = 326.04 : x
  2. Step 2: Convert to fraction form
    412.98/570.15 = 326.04/x
  3. Step 3: Cross multiply
    412.98x = 570.15 × 326.04
  4. Step 4: Simplify right side
    412.98x = 185,891.71
  5. Step 5: Solve for x
    x = 185,891.71/412.98
  6. Step 6: Final answer
    x = 450.12

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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.