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Finding the Fourth Proportional to 215.24, 320.44 and 214.23

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Solution

The fourth proportional to 215.24, 320.44 and 214.23 is: 318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.24 : 320.44 = 214.23 : x
  2. Step 2: Convert to fraction form
    215.24/320.44 = 214.23/x
  3. Step 3: Cross multiply
    215.24x = 320.44 × 214.23
  4. Step 4: Simplify right side
    215.24x = 68,647.33
  5. Step 5: Solve for x
    x = 68,647.33/215.24
  6. Step 6: Final answer
    x = 318.93

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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.