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Finding the Fourth Proportional to 411.78, 567.90 and 301.23

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Solution

The fourth proportional to 411.78, 567.90 and 301.23 is: 415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.78 : 567.90 = 301.23 : x
  2. Step 2: Convert to fraction form
    411.78/567.90 = 301.23/x
  3. Step 3: Cross multiply
    411.78x = 567.90 × 301.23
  4. Step 4: Simplify right side
    411.78x = 171,068.52
  5. Step 5: Solve for x
    x = 171,068.52/411.78
  6. Step 6: Final answer
    x = 415.44

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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.