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Finding the Fourth Proportional to 376.97, 567.48 and 269.51

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Solution

The fourth proportional to 376.97, 567.48 and 269.51 is: 405.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.97 : 567.48 = 269.51 : x
  2. Step 2: Convert to fraction form
    376.97/567.48 = 269.51/x
  3. Step 3: Cross multiply
    376.97x = 567.48 × 269.51
  4. Step 4: Simplify right side
    376.97x = 152,939.71
  5. Step 5: Solve for x
    x = 152,939.71/376.97
  6. Step 6: Final answer
    x = 405.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.