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Finding the Fourth Proportional to 134.46, 185.40 and 85.28

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Solution

The fourth proportional to 134.46, 185.40 and 85.28 is: 117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.46 : 185.40 = 85.28 : x
  2. Step 2: Convert to fraction form
    134.46/185.40 = 85.28/x
  3. Step 3: Cross multiply
    134.46x = 185.40 × 85.28
  4. Step 4: Simplify right side
    134.46x = 15,809.99
  5. Step 5: Solve for x
    x = 15,809.99/134.46
  6. Step 6: Final answer
    x = 117.58

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