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Finding the Fourth Proportional to 294.23, 441.77 and 140.43

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Solution

The fourth proportional to 294.23, 441.77 and 140.43 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.23 : 441.77 = 140.43 : x
  2. Step 2: Convert to fraction form
    294.23/441.77 = 140.43/x
  3. Step 3: Cross multiply
    294.23x = 441.77 × 140.43
  4. Step 4: Simplify right side
    294.23x = 62,037.06
  5. Step 5: Solve for x
    x = 62,037.06/294.23
  6. Step 6: Final answer
    x = 210.85

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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.