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Finding the Fourth Proportional to 418.12, 576.64 and 270.68

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Solution

The fourth proportional to 418.12, 576.64 and 270.68 is: 373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.12 : 576.64 = 270.68 : x
  2. Step 2: Convert to fraction form
    418.12/576.64 = 270.68/x
  3. Step 3: Cross multiply
    418.12x = 576.64 × 270.68
  4. Step 4: Simplify right side
    418.12x = 156,084.92
  5. Step 5: Solve for x
    x = 156,084.92/418.12
  6. Step 6: Final answer
    x = 373.30

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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.