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Finding the Fourth Proportional to 420.92, 581.14 and 271.81

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Solution

The fourth proportional to 420.92, 581.14 and 271.81 is: 375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.92 : 581.14 = 271.81 : x
  2. Step 2: Convert to fraction form
    420.92/581.14 = 271.81/x
  3. Step 3: Cross multiply
    420.92x = 581.14 × 271.81
  4. Step 4: Simplify right side
    420.92x = 157,959.66
  5. Step 5: Solve for x
    x = 157,959.66/420.92
  6. Step 6: Final answer
    x = 375.27

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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.