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Finding the Fourth Proportional to 420.33, 580.32 and 271.02

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Solution

The fourth proportional to 420.33, 580.32 and 271.02 is: 374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.33 : 580.32 = 271.02 : x
  2. Step 2: Convert to fraction form
    420.33/580.32 = 271.02/x
  3. Step 3: Cross multiply
    420.33x = 580.32 × 271.02
  4. Step 4: Simplify right side
    420.33x = 157,278.33
  5. Step 5: Solve for x
    x = 157,278.33/420.33
  6. Step 6: Final answer
    x = 374.18

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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.