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Finding the Fourth Proportional to 921.95, 1,382.93 and 272.68

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Solution

The fourth proportional to 921.95, 1,382.93 and 272.68 is: 409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.95 : 1,382.93 = 272.68 : x
  2. Step 2: Convert to fraction form
    921.95/1,382.93 = 272.68/x
  3. Step 3: Cross multiply
    921.95x = 1,382.93 × 272.68
  4. Step 4: Simplify right side
    921.95x = 377,097.35
  5. Step 5: Solve for x
    x = 377,097.35/921.95
  6. Step 6: Final answer
    x = 409.02

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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.