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Finding the Fourth Proportional to 216.42, 322.38 and 206.60

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Solution

The fourth proportional to 216.42, 322.38 and 206.60 is: 307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 322.38 = 206.60 : x
  2. Step 2: Convert to fraction form
    216.42/322.38 = 206.60/x
  3. Step 3: Cross multiply
    216.42x = 322.38 × 206.60
  4. Step 4: Simplify right side
    216.42x = 66,603.91
  5. Step 5: Solve for x
    x = 66,603.91/216.42
  6. Step 6: Final answer
    x = 307.75

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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.