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Finding the Fourth Proportional to 216.82, 322.55 and 207.10

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Solution

The fourth proportional to 216.82, 322.55 and 207.10 is: 308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.82 : 322.55 = 207.10 : x
  2. Step 2: Convert to fraction form
    216.82/322.55 = 207.10/x
  3. Step 3: Cross multiply
    216.82x = 322.55 × 207.10
  4. Step 4: Simplify right side
    216.82x = 66,800.11
  5. Step 5: Solve for x
    x = 66,800.11/216.82
  6. Step 6: Final answer
    x = 308.09

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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.