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Finding the Fourth Proportional to 419.87, 579.55 and 272.52

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Solution

The fourth proportional to 419.87, 579.55 and 272.52 is: 376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.87 : 579.55 = 272.52 : x
  2. Step 2: Convert to fraction form
    419.87/579.55 = 272.52/x
  3. Step 3: Cross multiply
    419.87x = 579.55 × 272.52
  4. Step 4: Simplify right side
    419.87x = 157,938.28
  5. Step 5: Solve for x
    x = 157,938.28/419.87
  6. Step 6: Final answer
    x = 376.16

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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.