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Finding the Fourth Proportional to 275.40, 410.40 and 251.10

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Solution

The fourth proportional to 275.40, 410.40 and 251.10 is: 374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.40 : 410.40 = 251.10 : x
  2. Step 2: Convert to fraction form
    275.40/410.40 = 251.10/x
  3. Step 3: Cross multiply
    275.40x = 410.40 × 251.10
  4. Step 4: Simplify right side
    275.40x = 103,051.44
  5. Step 5: Solve for x
    x = 103,051.44/275.40
  6. Step 6: Final answer
    x = 374.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.