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Finding the Fourth Proportional to 299.84, 446.66 and 290.78

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Solution

The fourth proportional to 299.84, 446.66 and 290.78 is: 433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.84 : 446.66 = 290.78 : x
  2. Step 2: Convert to fraction form
    299.84/446.66 = 290.78/x
  3. Step 3: Cross multiply
    299.84x = 446.66 × 290.78
  4. Step 4: Simplify right side
    299.84x = 129,877.56
  5. Step 5: Solve for x
    x = 129,877.56/299.84
  6. Step 6: Final answer
    x = 433.16

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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.