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Finding the Fourth Proportional to 274.86, 380.97 and 258.66

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Solution

The fourth proportional to 274.86, 380.97 and 258.66 is: 358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.86 : 380.97 = 258.66 : x
  2. Step 2: Convert to fraction form
    274.86/380.97 = 258.66/x
  3. Step 3: Cross multiply
    274.86x = 380.97 × 258.66
  4. Step 4: Simplify right side
    274.86x = 98,541.70
  5. Step 5: Solve for x
    x = 98,541.70/274.86
  6. Step 6: Final answer
    x = 358.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.