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Finding the Fourth Proportional to 486.55, 730.11 and 212.68

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Solution

The fourth proportional to 486.55, 730.11 and 212.68 is: 319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.55 : 730.11 = 212.68 : x
  2. Step 2: Convert to fraction form
    486.55/730.11 = 212.68/x
  3. Step 3: Cross multiply
    486.55x = 730.11 × 212.68
  4. Step 4: Simplify right side
    486.55x = 155,279.79
  5. Step 5: Solve for x
    x = 155,279.79/486.55
  6. Step 6: Final answer
    x = 319.14

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Why These Related Problems?

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