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Finding the Fourth Proportional to 921.28, 1,382.16 and 305.16

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Solution

The fourth proportional to 921.28, 1,382.16 and 305.16 is: 457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.28 : 1,382.16 = 305.16 : x
  2. Step 2: Convert to fraction form
    921.28/1,382.16 = 305.16/x
  3. Step 3: Cross multiply
    921.28x = 1,382.16 × 305.16
  4. Step 4: Simplify right side
    921.28x = 421,779.95
  5. Step 5: Solve for x
    x = 421,779.95/921.28
  6. Step 6: Final answer
    x = 457.82

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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.