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Finding the Fourth Proportional to 80.14, 110.47 and 65.41

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Solution

The fourth proportional to 80.14, 110.47 and 65.41 is: 90.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.14 : 110.47 = 65.41 : x
  2. Step 2: Convert to fraction form
    80.14/110.47 = 65.41/x
  3. Step 3: Cross multiply
    80.14x = 110.47 × 65.41
  4. Step 4: Simplify right side
    80.14x = 7,225.84
  5. Step 5: Solve for x
    x = 7,225.84/80.14
  6. Step 6: Final answer
    x = 90.17

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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.