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Finding the Fourth Proportional to 299.88, 446.96 and 284.48

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Solution

The fourth proportional to 299.88, 446.96 and 284.48 is: 424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.88 : 446.96 = 284.48 : x
  2. Step 2: Convert to fraction form
    299.88/446.96 = 284.48/x
  3. Step 3: Cross multiply
    299.88x = 446.96 × 284.48
  4. Step 4: Simplify right side
    299.88x = 127,151.18
  5. Step 5: Solve for x
    x = 127,151.18/299.88
  6. Step 6: Final answer
    x = 424.01

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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.