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Finding the Fourth Proportional to 279.99, 420.02 and 106.66

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Solution

The fourth proportional to 279.99, 420.02 and 106.66 is: 160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.99 : 420.02 = 106.66 : x
  2. Step 2: Convert to fraction form
    279.99/420.02 = 106.66/x
  3. Step 3: Cross multiply
    279.99x = 420.02 × 106.66
  4. Step 4: Simplify right side
    279.99x = 44,799.33
  5. Step 5: Solve for x
    x = 44,799.33/279.99
  6. Step 6: Final answer
    x = 160.00

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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.