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Finding the Fourth Proportional to 920.93, 1,381.39 and 227.61

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Solution

The fourth proportional to 920.93, 1,381.39 and 227.61 is: 341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.93 : 1,381.39 = 227.61 : x
  2. Step 2: Convert to fraction form
    920.93/1,381.39 = 227.61/x
  3. Step 3: Cross multiply
    920.93x = 1,381.39 × 227.61
  4. Step 4: Simplify right side
    920.93x = 314,417.61
  5. Step 5: Solve for x
    x = 314,417.61/920.93
  6. Step 6: Final answer
    x = 341.42

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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.