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Finding the Fourth Proportional to 490.11, 734.76 and 294.63

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Solution

The fourth proportional to 490.11, 734.76 and 294.63 is: 441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.11 : 734.76 = 294.63 : x
  2. Step 2: Convert to fraction form
    490.11/734.76 = 294.63/x
  3. Step 3: Cross multiply
    490.11x = 734.76 × 294.63
  4. Step 4: Simplify right side
    490.11x = 216,482.34
  5. Step 5: Solve for x
    x = 216,482.34/490.11
  6. Step 6: Final answer
    x = 441.70

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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.