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Finding the Fourth Proportional to 73.14, 100.74 and 65.31

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Solution

The fourth proportional to 73.14, 100.74 and 65.31 is: 89.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.14 : 100.74 = 65.31 : x
  2. Step 2: Convert to fraction form
    73.14/100.74 = 65.31/x
  3. Step 3: Cross multiply
    73.14x = 100.74 × 65.31
  4. Step 4: Simplify right side
    73.14x = 6,579.33
  5. Step 5: Solve for x
    x = 6,579.33/73.14
  6. Step 6: Final answer
    x = 89.96

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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.