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Finding the Fourth Proportional to 215.24, 322.14 and 179.24

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Solution

The fourth proportional to 215.24, 322.14 and 179.24 is: 268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.24 : 322.14 = 179.24 : x
  2. Step 2: Convert to fraction form
    215.24/322.14 = 179.24/x
  3. Step 3: Cross multiply
    215.24x = 322.14 × 179.24
  4. Step 4: Simplify right side
    215.24x = 57,740.37
  5. Step 5: Solve for x
    x = 57,740.37/215.24
  6. Step 6: Final answer
    x = 268.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.