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Finding the Fourth Proportional to 411.56, 567.16 and 318.12

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Solution

The fourth proportional to 411.56, 567.16 and 318.12 is: 438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.56 : 567.16 = 318.12 : x
  2. Step 2: Convert to fraction form
    411.56/567.16 = 318.12/x
  3. Step 3: Cross multiply
    411.56x = 567.16 × 318.12
  4. Step 4: Simplify right side
    411.56x = 180,424.94
  5. Step 5: Solve for x
    x = 180,424.94/411.56
  6. Step 6: Final answer
    x = 438.39

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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.