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Finding the Fourth Proportional to 841.38, 1,262.24 and 264.12

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Solution

The fourth proportional to 841.38, 1,262.24 and 264.12 is: 396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.38 : 1,262.24 = 264.12 : x
  2. Step 2: Convert to fraction form
    841.38/1,262.24 = 264.12/x
  3. Step 3: Cross multiply
    841.38x = 1,262.24 × 264.12
  4. Step 4: Simplify right side
    841.38x = 333,382.83
  5. Step 5: Solve for x
    x = 333,382.83/841.38
  6. Step 6: Final answer
    x = 396.23

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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.