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Finding the Fourth Proportional to 419.53, 579.20 and 279.84

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Solution

The fourth proportional to 419.53, 579.20 and 279.84 is: 386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.53 : 579.20 = 279.84 : x
  2. Step 2: Convert to fraction form
    419.53/579.20 = 279.84/x
  3. Step 3: Cross multiply
    419.53x = 579.20 × 279.84
  4. Step 4: Simplify right side
    419.53x = 162,083.33
  5. Step 5: Solve for x
    x = 162,083.33/419.53
  6. Step 6: Final answer
    x = 386.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.