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Finding the Fourth Proportional to 275.90, 410.49 and 274.95

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Solution

The fourth proportional to 275.90, 410.49 and 274.95 is: 409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.90 : 410.49 = 274.95 : x
  2. Step 2: Convert to fraction form
    275.90/410.49 = 274.95/x
  3. Step 3: Cross multiply
    275.90x = 410.49 × 274.95
  4. Step 4: Simplify right side
    275.90x = 112,864.23
  5. Step 5: Solve for x
    x = 112,864.23/275.90
  6. Step 6: Final answer
    x = 409.08

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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.