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Finding the Fourth Proportional to 134.06, 200.90 and 56.92

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Solution

The fourth proportional to 134.06, 200.90 and 56.92 is: 85.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.06 : 200.90 = 56.92 : x
  2. Step 2: Convert to fraction form
    134.06/200.90 = 56.92/x
  3. Step 3: Cross multiply
    134.06x = 200.90 × 56.92
  4. Step 4: Simplify right side
    134.06x = 11,435.23
  5. Step 5: Solve for x
    x = 11,435.23/134.06
  6. Step 6: Final answer
    x = 85.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.