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Finding the Fourth Proportional to 411.42, 567.24 and 321.72

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Solution

The fourth proportional to 411.42, 567.24 and 321.72 is: 443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.42 : 567.24 = 321.72 : x
  2. Step 2: Convert to fraction form
    411.42/567.24 = 321.72/x
  3. Step 3: Cross multiply
    411.42x = 567.24 × 321.72
  4. Step 4: Simplify right side
    411.42x = 182,492.45
  5. Step 5: Solve for x
    x = 182,492.45/411.42
  6. Step 6: Final answer
    x = 443.57

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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.