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Finding the Fourth Proportional to 411.14, 567.53 and 301.19

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Solution

The fourth proportional to 411.14, 567.53 and 301.19 is: 415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.14 : 567.53 = 301.19 : x
  2. Step 2: Convert to fraction form
    411.14/567.53 = 301.19/x
  3. Step 3: Cross multiply
    411.14x = 567.53 × 301.19
  4. Step 4: Simplify right side
    411.14x = 170,930.02
  5. Step 5: Solve for x
    x = 170,930.02/411.14
  6. Step 6: Final answer
    x = 415.75

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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.