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Finding the Fourth Proportional to 143.65, 198.48 and 106.93

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Solution

The fourth proportional to 143.65, 198.48 and 106.93 is: 147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.65 : 198.48 = 106.93 : x
  2. Step 2: Convert to fraction form
    143.65/198.48 = 106.93/x
  3. Step 3: Cross multiply
    143.65x = 198.48 × 106.93
  4. Step 4: Simplify right side
    143.65x = 21,223.47
  5. Step 5: Solve for x
    x = 21,223.47/143.65
  6. Step 6: Final answer
    x = 147.74

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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.