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Finding the Fourth Proportional to 208.52, 311.08 and 202.64

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Solution

The fourth proportional to 208.52, 311.08 and 202.64 is: 302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.52 : 311.08 = 202.64 : x
  2. Step 2: Convert to fraction form
    208.52/311.08 = 202.64/x
  3. Step 3: Cross multiply
    208.52x = 311.08 × 202.64
  4. Step 4: Simplify right side
    208.52x = 63,037.25
  5. Step 5: Solve for x
    x = 63,037.25/208.52
  6. Step 6: Final answer
    x = 302.31

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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.