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Finding the Fourth Proportional to 279.14, 420.39 and 255.02

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Solution

The fourth proportional to 279.14, 420.39 and 255.02 is: 384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.14 : 420.39 = 255.02 : x
  2. Step 2: Convert to fraction form
    279.14/420.39 = 255.02/x
  3. Step 3: Cross multiply
    279.14x = 420.39 × 255.02
  4. Step 4: Simplify right side
    279.14x = 107,205.76
  5. Step 5: Solve for x
    x = 107,205.76/279.14
  6. Step 6: Final answer
    x = 384.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.