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Finding the Fourth Proportional to 188.40, 258.70 and 159.24

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Solution

The fourth proportional to 188.40, 258.70 and 159.24 is: 218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.40 : 258.70 = 159.24 : x
  2. Step 2: Convert to fraction form
    188.40/258.70 = 159.24/x
  3. Step 3: Cross multiply
    188.40x = 258.70 × 159.24
  4. Step 4: Simplify right side
    188.40x = 41,195.39
  5. Step 5: Solve for x
    x = 41,195.39/188.40
  6. Step 6: Final answer
    x = 218.66

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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.