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Finding the Fourth Proportional to 73.81, 110.29 and 64.90

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Solution

The fourth proportional to 73.81, 110.29 and 64.90 is: 96.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.81 : 110.29 = 64.90 : x
  2. Step 2: Convert to fraction form
    73.81/110.29 = 64.90/x
  3. Step 3: Cross multiply
    73.81x = 110.29 × 64.90
  4. Step 4: Simplify right side
    73.81x = 7,157.74
  5. Step 5: Solve for x
    x = 7,157.74/73.81
  6. Step 6: Final answer
    x = 96.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.