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Finding the Fourth Proportional to 930.76, 1,396.36 and 272.65

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Solution

The fourth proportional to 930.76, 1,396.36 and 272.65 is: 409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.76 : 1,396.36 = 272.65 : x
  2. Step 2: Convert to fraction form
    930.76/1,396.36 = 272.65/x
  3. Step 3: Cross multiply
    930.76x = 1,396.36 × 272.65
  4. Step 4: Simplify right side
    930.76x = 380,717.55
  5. Step 5: Solve for x
    x = 380,717.55/930.76
  6. Step 6: Final answer
    x = 409.04

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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.