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Finding the Fourth Proportional to 146.19, 218.82 and 102.65

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Solution

The fourth proportional to 146.19, 218.82 and 102.65 is: 153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.19 : 218.82 = 102.65 : x
  2. Step 2: Convert to fraction form
    146.19/218.82 = 102.65/x
  3. Step 3: Cross multiply
    146.19x = 218.82 × 102.65
  4. Step 4: Simplify right side
    146.19x = 22,462.42
  5. Step 5: Solve for x
    x = 22,462.42/146.19
  6. Step 6: Final answer
    x = 153.65

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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.