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Finding the Fourth Proportional to 188.48, 258.72 and 173.76

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Solution

The fourth proportional to 188.48, 258.72 and 173.76 is: 238.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.48 : 258.72 = 173.76 : x
  2. Step 2: Convert to fraction form
    188.48/258.72 = 173.76/x
  3. Step 3: Cross multiply
    188.48x = 258.72 × 173.76
  4. Step 4: Simplify right side
    188.48x = 44,955.19
  5. Step 5: Solve for x
    x = 44,955.19/188.48
  6. Step 6: Final answer
    x = 238.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.