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Finding the Fourth Proportional to 299.04, 445.96 and 291.68

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Solution

The fourth proportional to 299.04, 445.96 and 291.68 is: 434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.04 : 445.96 = 291.68 : x
  2. Step 2: Convert to fraction form
    299.04/445.96 = 291.68/x
  3. Step 3: Cross multiply
    299.04x = 445.96 × 291.68
  4. Step 4: Simplify right side
    299.04x = 130,077.61
  5. Step 5: Solve for x
    x = 130,077.61/299.04
  6. Step 6: Final answer
    x = 434.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.