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Finding the Fourth Proportional to 279.45, 380.70 and 279.45

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Solution

The fourth proportional to 279.45, 380.70 and 279.45 is: 380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.45 : 380.70 = 279.45 : x
  2. Step 2: Convert to fraction form
    279.45/380.70 = 279.45/x
  3. Step 3: Cross multiply
    279.45x = 380.70 × 279.45
  4. Step 4: Simplify right side
    279.45x = 106,386.62
  5. Step 5: Solve for x
    x = 106,386.62/279.45
  6. Step 6: Final answer
    x = 380.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.