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Finding the Fourth Proportional to 188.72, 260.24 and 126.52

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Solution

The fourth proportional to 188.72, 260.24 and 126.52 is: 174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.72 : 260.24 = 126.52 : x
  2. Step 2: Convert to fraction form
    188.72/260.24 = 126.52/x
  3. Step 3: Cross multiply
    188.72x = 260.24 × 126.52
  4. Step 4: Simplify right side
    188.72x = 32,925.56
  5. Step 5: Solve for x
    x = 32,925.56/188.72
  6. Step 6: Final answer
    x = 174.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.