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Finding the Fourth Proportional to 188.37, 260.54 and 149.42

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Solution

The fourth proportional to 188.37, 260.54 and 149.42 is: 206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.37 : 260.54 = 149.42 : x
  2. Step 2: Convert to fraction form
    188.37/260.54 = 149.42/x
  3. Step 3: Cross multiply
    188.37x = 260.54 × 149.42
  4. Step 4: Simplify right side
    188.37x = 38,927.84
  5. Step 5: Solve for x
    x = 38,927.84/188.37
  6. Step 6: Final answer
    x = 206.66

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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.