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Finding the Fourth Proportional to 215.24, 320.43 and 214.22

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Solution

The fourth proportional to 215.24, 320.43 and 214.22 is: 318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.24 : 320.43 = 214.22 : x
  2. Step 2: Convert to fraction form
    215.24/320.43 = 214.22/x
  3. Step 3: Cross multiply
    215.24x = 320.43 × 214.22
  4. Step 4: Simplify right side
    215.24x = 68,640.91
  5. Step 5: Solve for x
    x = 68,640.91/215.24
  6. Step 6: Final answer
    x = 318.91

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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.