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Finding the Fourth Proportional to 275.66, 410.61 and 275.15

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Solution

The fourth proportional to 275.66, 410.61 and 275.15 is: 409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.66 : 410.61 = 275.15 : x
  2. Step 2: Convert to fraction form
    275.66/410.61 = 275.15/x
  3. Step 3: Cross multiply
    275.66x = 410.61 × 275.15
  4. Step 4: Simplify right side
    275.66x = 112,977.29
  5. Step 5: Solve for x
    x = 112,977.29/275.66
  6. Step 6: Final answer
    x = 409.84

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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.