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Finding the Fourth Proportional to 279.99, 420.06 and 94.92

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Solution

The fourth proportional to 279.99, 420.06 and 94.92 is: 142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.99 : 420.06 = 94.92 : x
  2. Step 2: Convert to fraction form
    279.99/420.06 = 94.92/x
  3. Step 3: Cross multiply
    279.99x = 420.06 × 94.92
  4. Step 4: Simplify right side
    279.99x = 39,872.10
  5. Step 5: Solve for x
    x = 39,872.10/279.99
  6. Step 6: Final answer
    x = 142.41

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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.