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Finding the Fourth Proportional to 211.60, 279.42 and 211.60

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Solution

The fourth proportional to 211.60, 279.42 and 211.60 is: 279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.60 : 279.42 = 211.60 : x
  2. Step 2: Convert to fraction form
    211.60/279.42 = 211.60/x
  3. Step 3: Cross multiply
    211.60x = 279.42 × 211.60
  4. Step 4: Simplify right side
    211.60x = 59,125.27
  5. Step 5: Solve for x
    x = 59,125.27/211.60
  6. Step 6: Final answer
    x = 279.42

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.