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Finding the Fourth Proportional to 567.34, 850.29 and 278.14

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Solution

The fourth proportional to 567.34, 850.29 and 278.14 is: 416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.34 : 850.29 = 278.14 : x
  2. Step 2: Convert to fraction form
    567.34/850.29 = 278.14/x
  3. Step 3: Cross multiply
    567.34x = 850.29 × 278.14
  4. Step 4: Simplify right side
    567.34x = 236,499.66
  5. Step 5: Solve for x
    x = 236,499.66/567.34
  6. Step 6: Final answer
    x = 416.86

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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.