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Finding the Fourth Proportional to 215.16, 320.40 and 214.20

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Solution

The fourth proportional to 215.16, 320.40 and 214.20 is: 318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.16 : 320.40 = 214.20 : x
  2. Step 2: Convert to fraction form
    215.16/320.40 = 214.20/x
  3. Step 3: Cross multiply
    215.16x = 320.40 × 214.20
  4. Step 4: Simplify right side
    215.16x = 68,629.68
  5. Step 5: Solve for x
    x = 68,629.68/215.16
  6. Step 6: Final answer
    x = 318.97

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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.