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Finding the Fourth Proportional to 379.64, 567.38 and 277.14

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Solution

The fourth proportional to 379.64, 567.38 and 277.14 is: 414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.64 : 567.38 = 277.14 : x
  2. Step 2: Convert to fraction form
    379.64/567.38 = 277.14/x
  3. Step 3: Cross multiply
    379.64x = 567.38 × 277.14
  4. Step 4: Simplify right side
    379.64x = 157,243.69
  5. Step 5: Solve for x
    x = 157,243.69/379.64
  6. Step 6: Final answer
    x = 414.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.