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Finding the Fourth Proportional to 380.97, 569.30 and 288.63

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Solution

The fourth proportional to 380.97, 569.30 and 288.63 is: 431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.97 : 569.30 = 288.63 : x
  2. Step 2: Convert to fraction form
    380.97/569.30 = 288.63/x
  3. Step 3: Cross multiply
    380.97x = 569.30 × 288.63
  4. Step 4: Simplify right side
    380.97x = 164,315.62
  5. Step 5: Solve for x
    x = 164,315.62/380.97
  6. Step 6: Final answer
    x = 431.31

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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.