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Finding the Fourth Proportional to 495.86, 684.20 and 274.77

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Solution

The fourth proportional to 495.86, 684.20 and 274.77 is: 379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.86 : 684.20 = 274.77 : x
  2. Step 2: Convert to fraction form
    495.86/684.20 = 274.77/x
  3. Step 3: Cross multiply
    495.86x = 684.20 × 274.77
  4. Step 4: Simplify right side
    495.86x = 187,996.26
  5. Step 5: Solve for x
    x = 187,996.26/495.86
  6. Step 6: Final answer
    x = 379.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.