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Finding the Fourth Proportional to 282.03, 419.49 and 256.06

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Solution

The fourth proportional to 282.03, 419.49 and 256.06 is: 380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.03 : 419.49 = 256.06 : x
  2. Step 2: Convert to fraction form
    282.03/419.49 = 256.06/x
  3. Step 3: Cross multiply
    282.03x = 419.49 × 256.06
  4. Step 4: Simplify right side
    282.03x = 107,414.61
  5. Step 5: Solve for x
    x = 107,414.61/282.03
  6. Step 6: Final answer
    x = 380.86

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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.