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Finding the Fourth Proportional to 97.66, 134.72 and 73.18

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Solution

The fourth proportional to 97.66, 134.72 and 73.18 is: 100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.66 : 134.72 = 73.18 : x
  2. Step 2: Convert to fraction form
    97.66/134.72 = 73.18/x
  3. Step 3: Cross multiply
    97.66x = 134.72 × 73.18
  4. Step 4: Simplify right side
    97.66x = 9,858.81
  5. Step 5: Solve for x
    x = 9,858.81/97.66
  6. Step 6: Final answer
    x = 100.95

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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.