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Finding the Fourth Proportional to 304.62, 420.58 and 271.82

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Solution

The fourth proportional to 304.62, 420.58 and 271.82 is: 375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.62 : 420.58 = 271.82 : x
  2. Step 2: Convert to fraction form
    304.62/420.58 = 271.82/x
  3. Step 3: Cross multiply
    304.62x = 420.58 × 271.82
  4. Step 4: Simplify right side
    304.62x = 114,322.06
  5. Step 5: Solve for x
    x = 114,322.06/304.62
  6. Step 6: Final answer
    x = 375.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.