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Finding the Fourth Proportional to 188.24, 257.53 and 187.70

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Solution

The fourth proportional to 188.24, 257.53 and 187.70 is: 256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.24 : 257.53 = 187.70 : x
  2. Step 2: Convert to fraction form
    188.24/257.53 = 187.70/x
  3. Step 3: Cross multiply
    188.24x = 257.53 × 187.70
  4. Step 4: Simplify right side
    188.24x = 48,338.38
  5. Step 5: Solve for x
    x = 48,338.38/188.24
  6. Step 6: Final answer
    x = 256.79

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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.