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Finding the Fourth Proportional to 215.68, 320.80 and 211.36

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Solution

The fourth proportional to 215.68, 320.80 and 211.36 is: 314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.68 : 320.80 = 211.36 : x
  2. Step 2: Convert to fraction form
    215.68/320.80 = 211.36/x
  3. Step 3: Cross multiply
    215.68x = 320.80 × 211.36
  4. Step 4: Simplify right side
    215.68x = 67,804.29
  5. Step 5: Solve for x
    x = 67,804.29/215.68
  6. Step 6: Final answer
    x = 314.37

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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.