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Finding the Fourth Proportional to 275.27, 410.95 and 251.58

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Solution

The fourth proportional to 275.27, 410.95 and 251.58 is: 375.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.27 : 410.95 = 251.58 : x
  2. Step 2: Convert to fraction form
    275.27/410.95 = 251.58/x
  3. Step 3: Cross multiply
    275.27x = 410.95 × 251.58
  4. Step 4: Simplify right side
    275.27x = 103,386.17
  5. Step 5: Solve for x
    x = 103,386.17/275.27
  6. Step 6: Final answer
    x = 375.58

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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.