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Finding the Fourth Proportional to 290.97, 434.46 and 256.46

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Solution

The fourth proportional to 290.97, 434.46 and 256.46 is: 382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.97 : 434.46 = 256.46 : x
  2. Step 2: Convert to fraction form
    290.97/434.46 = 256.46/x
  3. Step 3: Cross multiply
    290.97x = 434.46 × 256.46
  4. Step 4: Simplify right side
    290.97x = 111,419.44
  5. Step 5: Solve for x
    x = 111,419.44/290.97
  6. Step 6: Final answer
    x = 382.92

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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.