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Finding the Fourth Proportional to 99.17, 149.34 and 73.67

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Solution

The fourth proportional to 99.17, 149.34 and 73.67 is: 110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.17 : 149.34 = 73.67 : x
  2. Step 2: Convert to fraction form
    99.17/149.34 = 73.67/x
  3. Step 3: Cross multiply
    99.17x = 149.34 × 73.67
  4. Step 4: Simplify right side
    99.17x = 11,001.51
  5. Step 5: Solve for x
    x = 11,001.51/99.17
  6. Step 6: Final answer
    x = 110.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.