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Finding the Fourth Proportional to 188.28, 258.71 and 149.40

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Solution

The fourth proportional to 188.28, 258.71 and 149.40 is: 205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.28 : 258.71 = 149.40 : x
  2. Step 2: Convert to fraction form
    188.28/258.71 = 149.40/x
  3. Step 3: Cross multiply
    188.28x = 258.71 × 149.40
  4. Step 4: Simplify right side
    188.28x = 38,650.53
  5. Step 5: Solve for x
    x = 38,650.53/188.28
  6. Step 6: Final answer
    x = 205.28

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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.