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Finding the Fourth Proportional to 188.22, 257.80 and 177.15

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Solution

The fourth proportional to 188.22, 257.80 and 177.15 is: 242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.22 : 257.80 = 177.15 : x
  2. Step 2: Convert to fraction form
    188.22/257.80 = 177.15/x
  3. Step 3: Cross multiply
    188.22x = 257.80 × 177.15
  4. Step 4: Simplify right side
    188.22x = 45,668.83
  5. Step 5: Solve for x
    x = 45,668.83/188.22
  6. Step 6: Final answer
    x = 242.64

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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.