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Finding the Fourth Proportional to 187.64, 259.13 and 177.92

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Solution

The fourth proportional to 187.64, 259.13 and 177.92 is: 245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.64 : 259.13 = 177.92 : x
  2. Step 2: Convert to fraction form
    187.64/259.13 = 177.92/x
  3. Step 3: Cross multiply
    187.64x = 259.13 × 177.92
  4. Step 4: Simplify right side
    187.64x = 46,104.41
  5. Step 5: Solve for x
    x = 46,104.41/187.64
  6. Step 6: Final answer
    x = 245.71

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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.