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Finding the Fourth Proportional to 420.13, 579.58 and 272.71

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Solution

The fourth proportional to 420.13, 579.58 and 272.71 is: 376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.13 : 579.58 = 272.71 : x
  2. Step 2: Convert to fraction form
    420.13/579.58 = 272.71/x
  3. Step 3: Cross multiply
    420.13x = 579.58 × 272.71
  4. Step 4: Simplify right side
    420.13x = 158,055.13
  5. Step 5: Solve for x
    x = 158,055.13/420.13
  6. Step 6: Final answer
    x = 376.21

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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.