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Finding the Fourth Proportional to 216.28, 296.30 and 208.06

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Solution

The fourth proportional to 216.28, 296.30 and 208.06 is: 285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.28 : 296.30 = 208.06 : x
  2. Step 2: Convert to fraction form
    216.28/296.30 = 208.06/x
  3. Step 3: Cross multiply
    216.28x = 296.30 × 208.06
  4. Step 4: Simplify right side
    216.28x = 61,648.18
  5. Step 5: Solve for x
    x = 61,648.18/216.28
  6. Step 6: Final answer
    x = 285.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.