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Finding the Fourth Proportional to 299.98, 412.50 and 290.86

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Solution

The fourth proportional to 299.98, 412.50 and 290.86 is: 399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.98 : 412.50 = 290.86 : x
  2. Step 2: Convert to fraction form
    299.98/412.50 = 290.86/x
  3. Step 3: Cross multiply
    299.98x = 412.50 × 290.86
  4. Step 4: Simplify right side
    299.98x = 119,979.75
  5. Step 5: Solve for x
    x = 119,979.75/299.98
  6. Step 6: Final answer
    x = 399.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.