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Finding the Fourth Proportional to 567.31, 851.36 and 278.59

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Solution

The fourth proportional to 567.31, 851.36 and 278.59 is: 418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.31 : 851.36 = 278.59 : x
  2. Step 2: Convert to fraction form
    567.31/851.36 = 278.59/x
  3. Step 3: Cross multiply
    567.31x = 851.36 × 278.59
  4. Step 4: Simplify right side
    567.31x = 237,180.38
  5. Step 5: Solve for x
    x = 237,180.38/567.31
  6. Step 6: Final answer
    x = 418.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.