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Finding the Fourth Proportional to 188.52, 257.87 and 185.70

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Solution

The fourth proportional to 188.52, 257.87 and 185.70 is: 254.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.52 : 257.87 = 185.70 : x
  2. Step 2: Convert to fraction form
    188.52/257.87 = 185.70/x
  3. Step 3: Cross multiply
    188.52x = 257.87 × 185.70
  4. Step 4: Simplify right side
    188.52x = 47,886.46
  5. Step 5: Solve for x
    x = 47,886.46/188.52
  6. Step 6: Final answer
    x = 254.01

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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.