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Finding the Fourth Proportional to 411.06, 566.96 and 322.57

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Solution

The fourth proportional to 411.06, 566.96 and 322.57 is: 444.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.06 : 566.96 = 322.57 : x
  2. Step 2: Convert to fraction form
    411.06/566.96 = 322.57/x
  3. Step 3: Cross multiply
    411.06x = 566.96 × 322.57
  4. Step 4: Simplify right side
    411.06x = 182,884.29
  5. Step 5: Solve for x
    x = 182,884.29/411.06
  6. Step 6: Final answer
    x = 444.91

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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.