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Finding the Fourth Proportional to 187.08, 257.64 and 171.60

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Solution

The fourth proportional to 187.08, 257.64 and 171.60 is: 236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.08 : 257.64 = 171.60 : x
  2. Step 2: Convert to fraction form
    187.08/257.64 = 171.60/x
  3. Step 3: Cross multiply
    187.08x = 257.64 × 171.60
  4. Step 4: Simplify right side
    187.08x = 44,211.02
  5. Step 5: Solve for x
    x = 44,211.02/187.08
  6. Step 6: Final answer
    x = 236.32

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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.