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Finding the Fourth Proportional to 215.10, 321.06 and 211.08

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Solution

The fourth proportional to 215.10, 321.06 and 211.08 is: 315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.10 : 321.06 = 211.08 : x
  2. Step 2: Convert to fraction form
    215.10/321.06 = 211.08/x
  3. Step 3: Cross multiply
    215.10x = 321.06 × 211.08
  4. Step 4: Simplify right side
    215.10x = 67,769.34
  5. Step 5: Solve for x
    x = 67,769.34/215.10
  6. Step 6: Final answer
    x = 315.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.