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Finding the Fourth Proportional to 297.30, 409.23 and 281.10

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Solution

The fourth proportional to 297.30, 409.23 and 281.10 is: 386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.30 : 409.23 = 281.10 : x
  2. Step 2: Convert to fraction form
    297.30/409.23 = 281.10/x
  3. Step 3: Cross multiply
    297.30x = 409.23 × 281.10
  4. Step 4: Simplify right side
    297.30x = 115,034.55
  5. Step 5: Solve for x
    x = 115,034.55/297.30
  6. Step 6: Final answer
    x = 386.93

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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.