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Finding the Fourth Proportional to 187.76, 259.17 and 109.10

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Solution

The fourth proportional to 187.76, 259.17 and 109.10 is: 150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.76 : 259.17 = 109.10 : x
  2. Step 2: Convert to fraction form
    187.76/259.17 = 109.10/x
  3. Step 3: Cross multiply
    187.76x = 259.17 × 109.10
  4. Step 4: Simplify right side
    187.76x = 28,273.74
  5. Step 5: Solve for x
    x = 28,273.74/187.76
  6. Step 6: Final answer
    x = 150.59

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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.