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Finding the Fourth Proportional to 126.52, 188.65 and 126.35

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Solution

The fourth proportional to 126.52, 188.65 and 126.35 is: 188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.52 : 188.65 = 126.35 : x
  2. Step 2: Convert to fraction form
    126.52/188.65 = 126.35/x
  3. Step 3: Cross multiply
    126.52x = 188.65 × 126.35
  4. Step 4: Simplify right side
    126.52x = 23,835.93
  5. Step 5: Solve for x
    x = 23,835.93/126.52
  6. Step 6: Final answer
    x = 188.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.