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Finding the Fourth Proportional to 495.50, 684.12 and 309.06

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Solution

The fourth proportional to 495.50, 684.12 and 309.06 is: 426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.50 : 684.12 = 309.06 : x
  2. Step 2: Convert to fraction form
    495.50/684.12 = 309.06/x
  3. Step 3: Cross multiply
    495.50x = 684.12 × 309.06
  4. Step 4: Simplify right side
    495.50x = 211,434.13
  5. Step 5: Solve for x
    x = 211,434.13/495.50
  6. Step 6: Final answer
    x = 426.71

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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.