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Finding the Fourth Proportional to 495.60, 684.06 and 321.06

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Solution

The fourth proportional to 495.60, 684.06 and 321.06 is: 443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.60 : 684.06 = 321.06 : x
  2. Step 2: Convert to fraction form
    495.60/684.06 = 321.06/x
  3. Step 3: Cross multiply
    495.60x = 684.06 × 321.06
  4. Step 4: Simplify right side
    495.60x = 219,624.30
  5. Step 5: Solve for x
    x = 219,624.30/495.60
  6. Step 6: Final answer
    x = 443.15

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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.