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Finding the Fourth Proportional to 275.32, 410.51 and 252.00

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Solution

The fourth proportional to 275.32, 410.51 and 252.00 is: 375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.32 : 410.51 = 252.00 : x
  2. Step 2: Convert to fraction form
    275.32/410.51 = 252.00/x
  3. Step 3: Cross multiply
    275.32x = 410.51 × 252.00
  4. Step 4: Simplify right side
    275.32x = 103,447.22
  5. Step 5: Solve for x
    x = 103,447.22/275.32
  6. Step 6: Final answer
    x = 375.74

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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.