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Finding the Fourth Proportional to 208.08, 287.19 and 149.31

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Solution

The fourth proportional to 208.08, 287.19 and 149.31 is: 206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.08 : 287.19 = 149.31 : x
  2. Step 2: Convert to fraction form
    208.08/287.19 = 149.31/x
  3. Step 3: Cross multiply
    208.08x = 287.19 × 149.31
  4. Step 4: Simplify right side
    208.08x = 42,880.34
  5. Step 5: Solve for x
    x = 42,880.34/208.08
  6. Step 6: Final answer
    x = 206.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.