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Finding the Fourth Proportional to 216.48, 322.56 and 213.60

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Solution

The fourth proportional to 216.48, 322.56 and 213.60 is: 318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.48 : 322.56 = 213.60 : x
  2. Step 2: Convert to fraction form
    216.48/322.56 = 213.60/x
  3. Step 3: Cross multiply
    216.48x = 322.56 × 213.60
  4. Step 4: Simplify right side
    216.48x = 68,898.82
  5. Step 5: Solve for x
    x = 68,898.82/216.48
  6. Step 6: Final answer
    x = 318.27

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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.