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Finding the Fourth Proportional to 567.42, 849.90 and 278.26

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Solution

The fourth proportional to 567.42, 849.90 and 278.26 is: 416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.42 : 849.90 = 278.26 : x
  2. Step 2: Convert to fraction form
    567.42/849.90 = 278.26/x
  3. Step 3: Cross multiply
    567.42x = 849.90 × 278.26
  4. Step 4: Simplify right side
    567.42x = 236,493.17
  5. Step 5: Solve for x
    x = 236,493.17/567.42
  6. Step 6: Final answer
    x = 416.79

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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.