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Finding the Fourth Proportional to 187.52, 258.81 and 138.34

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Solution

The fourth proportional to 187.52, 258.81 and 138.34 is: 190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.52 : 258.81 = 138.34 : x
  2. Step 2: Convert to fraction form
    187.52/258.81 = 138.34/x
  3. Step 3: Cross multiply
    187.52x = 258.81 × 138.34
  4. Step 4: Simplify right side
    187.52x = 35,802.48
  5. Step 5: Solve for x
    x = 35,802.48/187.52
  6. Step 6: Final answer
    x = 190.93

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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.