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Finding the Fourth Proportional to 216.54, 322.90 and 214.59

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Solution

The fourth proportional to 216.54, 322.90 and 214.59 is: 319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.54 : 322.90 = 214.59 : x
  2. Step 2: Convert to fraction form
    216.54/322.90 = 214.59/x
  3. Step 3: Cross multiply
    216.54x = 322.90 × 214.59
  4. Step 4: Simplify right side
    216.54x = 69,291.11
  5. Step 5: Solve for x
    x = 69,291.11/216.54
  6. Step 6: Final answer
    x = 319.99

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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.