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Finding the Fourth Proportional to 420.10, 579.49 and 272.83

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Solution

The fourth proportional to 420.10, 579.49 and 272.83 is: 376.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.10 : 579.49 = 272.83 : x
  2. Step 2: Convert to fraction form
    420.10/579.49 = 272.83/x
  3. Step 3: Cross multiply
    420.10x = 579.49 × 272.83
  4. Step 4: Simplify right side
    420.10x = 158,102.09
  5. Step 5: Solve for x
    x = 158,102.09/420.10
  6. Step 6: Final answer
    x = 376.35

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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.