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Finding the Fourth Proportional to 216.60, 297.11 and 211.20

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Solution

The fourth proportional to 216.60, 297.11 and 211.20 is: 289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.60 : 297.11 = 211.20 : x
  2. Step 2: Convert to fraction form
    216.60/297.11 = 211.20/x
  3. Step 3: Cross multiply
    216.60x = 297.11 × 211.20
  4. Step 4: Simplify right side
    216.60x = 62,749.63
  5. Step 5: Solve for x
    x = 62,749.63/216.60
  6. Step 6: Final answer
    x = 289.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.