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Finding the Fourth Proportional to 274.08, 410.91 and 129.63

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Solution

The fourth proportional to 274.08, 410.91 and 129.63 is: 194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.08 : 410.91 = 129.63 : x
  2. Step 2: Convert to fraction form
    274.08/410.91 = 129.63/x
  3. Step 3: Cross multiply
    274.08x = 410.91 × 129.63
  4. Step 4: Simplify right side
    274.08x = 53,264.21
  5. Step 5: Solve for x
    x = 53,264.21/274.08
  6. Step 6: Final answer
    x = 194.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.