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Finding the Fourth Proportional to 187.86, 259.18 and 138.14

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Solution

The fourth proportional to 187.86, 259.18 and 138.14 is: 190.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.86 : 259.18 = 138.14 : x
  2. Step 2: Convert to fraction form
    187.86/259.18 = 138.14/x
  3. Step 3: Cross multiply
    187.86x = 259.18 × 138.14
  4. Step 4: Simplify right side
    187.86x = 35,803.13
  5. Step 5: Solve for x
    x = 35,803.13/187.86
  6. Step 6: Final answer
    x = 190.58

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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.