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Finding the Fourth Proportional to 66.65, 99.89 and 50.34

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Solution

The fourth proportional to 66.65, 99.89 and 50.34 is: 75.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.65 : 99.89 = 50.34 : x
  2. Step 2: Convert to fraction form
    66.65/99.89 = 50.34/x
  3. Step 3: Cross multiply
    66.65x = 99.89 × 50.34
  4. Step 4: Simplify right side
    66.65x = 5,028.93
  5. Step 5: Solve for x
    x = 5,028.93/66.65
  6. Step 6: Final answer
    x = 75.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.